tag:blogger.com,1999:blog-87324690051463488272024-03-05T09:24:48.474-08:00FUERZAS EN UN PLANO INCLINADOsteven rodriguezhttp://www.blogger.com/profile/01951642029780015678noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-8732469005146348827.post-71611866681185580492011-08-08T15:33:00.000-07:002011-08-29T14:13:39.793-07:00fuerzas en un plano inclinado<div style="margin-bottom: .0001pt; margin: 0cm; text-align: justify;"><span class="Apple-style-span" style="color: white;"><b style="background-color: black;"><br />
</b></span></div><div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><br />
El plano inclinado prácticamente se puede definir como una maquina simple que son aparatos o mecanismos que se </span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 14pt;">emplean para transmitir la acción de una fuerza desde un lugar a </span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">otro.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">EL PLANO INCLINADO es un plano que forma un angulo con la horizontal</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">Vm = l / h</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
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</span></b></div><div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">donde l : longitud del plano y h : la altura del plano</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
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</span></b></div><div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">Esta maquina simple descompone la fuerza del peso en dos componentes : la normal </span><span class="Apple-style-span" style="font-size: medium;"><u1:p></u1:p></span> <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"><span class="Apple-style-span" style="font-size: medium;">( que soporta el plano inclinado ) y la paralela del plano ( que compensa la fuerza aplicada ).</span><span style="font-size: 13.5pt;"> </span><span class="Apple-style-span" style="font-size: medium;"><o:p></o:p></span></span></b></span></span></div><div style="margin-bottom: .0001pt; margin: 0cm;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"> De esta manera, el esfuerzo necesario para levantar la <o:p></o:p></b></span></span></div><div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">carga es menor y , </span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">dependiendo de la inclinación de la rampa, la ventaja mecánica es muy considerable. </span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
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</span></b></div><div style="margin-bottom: .0001pt; margin: 0cm;"><b style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d;"><br />
</span></b></div><div class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: justify;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">Al igual que las demás máquinas simples cambian fuerza por distancias. El plano inclinado se descubre por accidente ya que se encuentra en forma natural, <u1:p></u1:p>el plano inclinado es básicamente un triángulo donde su utiliza la hipotenusa, la función principal </span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: justify;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">del plano inclinados levantar objetos por encima de la Horizontal.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
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</span></b></div><div style="margin-bottom: .0001pt; margin: 0cm; text-align: justify;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;">El plano inclinado por decirlo así, su palabra <o:p></o:p></b></span></span></div><div style="margin-bottom: .0001pt; margin: 0cm; text-align: justify;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">se puede derivar también como tornillo o cuña.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
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</span></b></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u2:p></u2:p> </b></span></span><br />
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</span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmRRDl-LE99LR5OPwUu401IfSPiRFTYlxRTk87Bj4t60QB_vRTFR2YM_15KwPTXAQNsA-QFMFgHft1GLa2vMHKPQB5lKvQp4z0AaZibqOt4KoVNtBQu4J1TlONXbjEvA5LCGK4MYOXFm1c/s1600/images.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmRRDl-LE99LR5OPwUu401IfSPiRFTYlxRTk87Bj4t60QB_vRTFR2YM_15KwPTXAQNsA-QFMFgHft1GLa2vMHKPQB5lKvQp4z0AaZibqOt4KoVNtBQu4J1TlONXbjEvA5LCGK4MYOXFm1c/s1600/images.jpg" /></b></span></a></div><div align="center" class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif; font-size: medium;"><b style="background-color: #d9ead3;"><br />
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</span></b></div><div align="center" class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: center;"><b style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d;"><br />
</span></b></div><div align="center" class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: center;"><b style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d;"><br />
</span></b></div><div align="center" class="separator" style="margin-bottom: .0001pt; margin: 0cm; text-align: center;"><span class="Apple-style-span" style="font-size: 18px; line-height: 24px;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;">Para analizar las fuerzas existentes sobre un cuerpo situado</b></span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"> sobre un plano inclinado, hay que tener en cuenta la existencia<o:p></o:p></b></span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> de varios orígenes en las mismas.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> .</span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 7pt;"> <span class="apple-converted-space"> </span></span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">En primer lugar se debe considerar la existencia de una <o:p></o:p></span></b></span></span></div><div style="margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"> fuerzas de gravedad, también conocida como peso, que es consecuencia de la masa (M) que posee el cuerpo apoyado<o:p></o:p></b></span></span></div><div style="margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> en el plano inclinado y tiene una magnitud de M.g con una dirección vertical y representada en la figura por la letra G.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> .</span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 7pt;"> <span class="apple-converted-space"> </span></span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">Existe además una fuerza normal (N), también conocida <o:p></o:p></span></b></span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"> como la fuerza de reacción ejercida sobre el cuerpo por el plano como consecuencia de la tercera ley de newton , se encuentra en una dirección perpendicular al plano y tiene una magnitud <o:p></o:p></b></span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> igual a la fuerza ejercida por el plano sobre el cuerpo.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><u1:p></u1:p> </b></span></span><br />
<div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> .</span><span class="apple-converted-space"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 7pt;"> </span></span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;">Existe finalmente una fuerza de razonamiento, también <o:p></o:p></span></b></span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"> conocida como fuerza de fricción (F<sub>R</sub>), que siempre se opone al <o:p></o:p></b></span></span></div><div style="margin-bottom: 0cm; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-indent: -18pt;"><div style="line-height: 18pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"> sentido del movimiento del cuerpo respecto a la superficie, su magnitud depende tanto del peso como de las características superficiales del plano inclinado y la superficie en contacto del cuerpo que proporcionan un coeficiente de razonamiento. Esta fuerza debe tener un valor igual a F<sub>1</sub>=M.g.senα para que el cuerpo se mantenga en equilibrio. En el caso en que F<sub>1</sub> fuese mayor que la fuerza de rozamiento el cuerpo se deslizaría hacia abajo por el plano inclinado. Por tanto para subir el cuerpo se debe realizar una fuerza con una magnitud que iguale o supere la suma de F<sub>1</sub> + F<sub>R</sub>.</span><span style="font-size: 13.5pt;"><o:p></o:p></span></b></span></span></div><div style="line-height: 18pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b style="background-color: #d9ead3;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><br />
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</b></span></div><div class="separator" style="clear: both; line-height: 18pt; text-align: center;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Handwriting'; font-size: 16pt; line-height: 115%;">EJERCICIOS DE TORQUES</span></b></div><div class="separator" style="clear: both; line-height: 18pt; text-align: center;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Handwriting'; font-size: 16pt; line-height: 115%;"><br />
</span></b></div><div class="separator" style="clear: both; text-align: center;"></div><div class="MsoNormal" style="font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"> Pregunta 1 <o:p></o:p></span></b></div><div class="MsoNormal" style="font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"> Se coloca una tuerca con una llave como se muestra en la figura. Si el brazo r es igual a 30 cm y el torque de apriete recomendado para la tuerca es de 30 Nm, ¿cuál debe ser el valor de la fuerza F aplicada?.<o:p></o:p></span></b></div><div class="MsoNormal" style="font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"><br />
</span></b></div><div class="separator" style="clear: both; font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfa_6j7NWllCoDgoxp6gSv9Tbvsw8bWmK-f9DKY5BcYL7tEXGtufnYB8F-jVg9gWy5ItZSFIhjCPGUqXwhyphenhyphen73EZkSbgv0C5PTXma7GmvBQOD1Z1kLxrLVrIGWdWXFiHT7JlVqK-bJgNvAz/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfa_6j7NWllCoDgoxp6gSv9Tbvsw8bWmK-f9DKY5BcYL7tEXGtufnYB8F-jVg9gWy5ItZSFIhjCPGUqXwhyphenhyphen73EZkSbgv0C5PTXma7GmvBQOD1Z1kLxrLVrIGWdWXFiHT7JlVqK-bJgNvAz/s1600/Sin+t%25C3%25ADtulo.png" /><span></span></span></a></div><div class="separator" style="clear: both; font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%; text-align: justify;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div><div class="separator" style="clear: both; font-family: 'Lucida Handwriting'; font-size: 16pt; font-weight: bold; line-height: 115%; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">Solución:</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">Σ t = r x F = 0,3 m x F = 30 Nm</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">Despejando:</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">0,3 m x F = 30 Nm</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">F = 30 Nm </span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"> 03.m F = 100 N</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-size: 21px; line-height: 24px;"><b><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: #38761d; font-size: large; line-height: 24px;"><b style="background-color: #d9ead3;">problema 2 </b></span></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: #38761d; font-size: large; line-height: 24px;"><b style="background-color: #d9ead3;"><br />
</b></span></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"></span></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"> <b> Suponiendo despreciable la masa de la varilla, calcula el torque del </b></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"><b style="background-color: #d9ead3;"> sistema y su aceleración angular.</b></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"><b style="background-color: #d9ead3;"> </b></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"><b style="background-color: #d9ead3;"> </b></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"><b style="background-color: #d9ead3;"> Datos: <span style="font-family: 'times new roman', times, serif;">L<sub>1</sub> = 1 m; L<sub>2</sub> = 2 m; m<sub>1</sub> = 3 kg; m<sub>2</sub> = 2 kg; φ = 30º</span></b></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div class="separator" style="clear: both; font-family: Arial, Helvetica, sans-serif; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4w87ZcrwfDo8S9KEo0SUt3OfwYOe_clIc893SaENecZPExMNj3I8pWPdiSXuv-hymVFB2e8WYahxEPtHj0MSxvi9J_wvcyi5zNMMF4fRBUMD4JFWaRk-R_H7W-EZveJdQhraHss02S-cy/s1600/ght.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4w87ZcrwfDo8S9KEo0SUt3OfwYOe_clIc893SaENecZPExMNj3I8pWPdiSXuv-hymVFB2e8WYahxEPtHj0MSxvi9J_wvcyi5zNMMF4fRBUMD4JFWaRk-R_H7W-EZveJdQhraHss02S-cy/s1600/ght.png" /></span></a></div><div class="separator" style="clear: both; font-family: Arial, Helvetica, sans-serif; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div><div class="separator" style="clear: both; font-family: Arial, Helvetica, sans-serif; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div><div class="separator" style="clear: both; font-family: Arial, Helvetica, sans-serif; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-size: large;"><b style="background-color: #d9ead3;">problema 3 </b></span></div><div class="separator" style="clear: both; font-family: Arial, Helvetica, sans-serif; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"></span></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"> Las cuatro fuerzas concurrentes mostradas en la figura tienen</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">una resultante igual a cero. Si FB = 800 N, F</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">C = 1000 N y FD = 800 N</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">determine la magnitud de F</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">A y el ángulo α.</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
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</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCo_wgsu3DIakOhgPNC-bbqXUiS9OwcDMAyNXJx9SAq946uV4_g19kqAXlAkIdEeZJDQjZk0yHeXxdOkuQMckikKtHHkIT5rpexxH1jtiIQQ66LqgjUuBgtfAyWx17Z41bLoQC5s9OBoD2/s1600/rg.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCo_wgsu3DIakOhgPNC-bbqXUiS9OwcDMAyNXJx9SAq946uV4_g19kqAXlAkIdEeZJDQjZk0yHeXxdOkuQMckikKtHHkIT5rpexxH1jtiIQQ66LqgjUuBgtfAyWx17Z41bLoQC5s9OBoD2/s1600/rg.png" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-family: Arial, Helvetica, sans-serif;"><b style="background-color: #d9ead3;"><br />
</b></span></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>Solución</b>. Las componentes de la fuerza son</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">Fx = FC cos 30 + FD cos 20 − FB cos 70 − FA cos α </span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"><br />
</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">Fy = FC sin 30 − FD sin 20 + FB sin 70 − FA sin α </span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">o bien</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;"> FA cos α = 1000 cos 30 + 800 cos 20 − 800 cos 70 = </span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">1344. 163,</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">FA sin α = 1000 sin 30 − 800 sin 20 + 800 sin 70 </span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif; font-size: large;">= 978. 138,</span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;"><br />
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</span></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span><br />
<div style="text-align: justify;"><span class="Apple-style-span" style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d; font-family: 'times new roman', times, serif; font-size: large;"></span></span><br />
<div style="display: inline !important; text-align: center;"><div class="MsoNormal" style="display: inline !important;"><span class="Apple-style-span" style="font-family: 'times new roman', times, serif;"><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: large; line-height: 24px;"> fa= </span></span></div></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<div style="display: inline !important; text-align: center;"><div class="MsoNormal" style="display: inline !important; font-family: 'times new roman', times, serif;"><span style="font-family: Arial, sans-serif; line-height: 115%;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;">√1344. 1632+ 978. 1382= 1662. 386 N</span></span></div></div><div style="text-align: center;"><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="font-family: Arial, sans-serif; line-height: 115%;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;">tan α = 978. 138 = 0,727<o:p></o:p></span></span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="font-family: Arial, sans-serif; line-height: 115%;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"> 1344. 163<o:p></o:p></span></span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="font-family: Arial, sans-serif; line-height: 115%;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></span><br />
<span style="font-family: Arial, sans-serif; line-height: 115%;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: large;"><span class="Apple-style-span">α = 36,04</span><o:p></o:p></span></span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"><br />
</span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"><br />
</span></div><div class="MsoNormal" style="font-family: 'times new roman', times, serif;"><span style="background-color: #d9ead3; color: #38761d; font-family: Arial, sans-serif; font-size: 16pt; line-height: 115%;"><br />
</span></div><div class="MsoNormal"><span class="Apple-style-span" style="font-family: Arial, sans-serif;"><span class="Apple-style-span" style="color: #38761d; font-size: large; line-height: 24px;"><b style="background-color: #d9ead3;">problema 4</b></span></span></div></div><div style="font-family: 'times new roman', times, serif; text-align: right;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span></div></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: right;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div style="text-align: justify;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><span class="Apple-style-span" style="font-family: 'times new roman', times, serif;"><b> </b></span><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: large; line-height: 19px;">Determina la velocidad angular de un disco de 1kg</span></span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: large; line-height: 19px;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: large; line-height: 19px;"> de masa </span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"> y radio 20cm que rota con eje en su centro de masa</span></span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="font-size: large;"> con una energía cinética de 800J</span><br />
</span><br />
<div style="display: block; margin-left: auto; margin-right: auto; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://sites.google.com/site/georffrey/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/disco.gif?attredirects=0" imageanchor="1" style="background-attachment: initial; background-clip: initial; background-image: none; background-origin: initial; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial; font-weight: bold; margin-left: 1em; margin-right: 1em; padding-bottom: 2px; padding-left: 2px; padding-right: 2px; padding-top: 2px; text-decoration: underline;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><img border="0" height="129" src="https://sites.google.com/site/georffrey/_/rsrc/1291213619950/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/disco.gif?height=129&width=200" style="border-bottom-width: 0px; border-color: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;" width="200" /></span></a></div><span class="Apple-style-span" style="background-color: #d9ead3;"><span class="Apple-style-span" style="color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"></span></span></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><br />
</span><br />
<div style="display: block; text-align: left;"><span class="Apple-style-span" style="color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><a href="https://sites.google.com/site/georffrey/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/energia%201.gif?attredirects=0" imageanchor="1" style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: none; background-origin: initial; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial; clear: left; float: left; font-weight: bold; margin-bottom: 1em; margin-right: 1em; padding-bottom: 2px; padding-left: 2px; padding-right: 2px; padding-top: 2px; text-align: center; text-decoration: underline;"><span class="Apple-style-span"><img border="0" src="https://sites.google.com/site/georffrey/_/rsrc/1291213610945/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/energia%201.gif" style="border-bottom-width: 0px; border-color: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;" /></span><span class="Apple-style-span"> </span></a></span></div></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: small;"><br />
</span></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: small;"><br />
</span></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: small;"> </span></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: small;"><br />
</span></span></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="font-size: small;"> </span><span style="font-size: large;">Recordemos del modelo que usamos</span></span><br />
<span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></span><br />
<span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"> para el patinador que cierra y abre los brazos que la</span></span><br />
<span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></span><br />
<span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"> inercia o resistencia del sólido a alterar su movimiento</span></span><br />
<span class="Apple-style-span" style="font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="background-color: #d9ead3; color: #38761d; font-size: large;"><br />
</span></span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; line-height: 19px;"><span style="font-size: large;"> de rotación Ic para un disco está dado por:</span><br />
<br />
</span><br />
<div style="display: block; margin-left: auto; margin-right: auto; text-align: center;"><span class="Apple-style-span" style="color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><a href="https://sites.google.com/site/georffrey/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/momento%20de%20inercia.gif?attredirects=0" imageanchor="1" style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: none; background-origin: initial; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial; font-weight: bold; padding-bottom: 2px; padding-left: 2px; padding-right: 2px; padding-top: 2px; text-decoration: underline;"><img border="0" src="https://sites.google.com/site/georffrey/_/rsrc/1291213626064/fisica-i/movimiento-de-fluidos/ejercicios-de-los-otros-temas-parcial-ii/momento%20de%20inercia.gif" style="border-bottom-width: 0px; border-color: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;" /></a></span></div><div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Grande', 'Lucida Sans', Verdana, Arial, sans-serif; font-size: 13px; line-height: 19px;"><br />
</span></div></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><div style="font-family: Arial, Helvetica, sans-serif; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'times new roman', times, serif;"><br />
</span></b></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<div class="MsoNormal"></div><span class="Apple-style-span" style="font-size: 21px; font-weight: 800; line-height: 24px;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Arial, Helvetica, sans-serif;">F</span></span><br />
<div class="MsoNormal"><span class="Apple-style-span" style="font-family: Arial, sans-serif;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: 21px; font-weight: 800; line-height: 24px;">S</span></span></div><span class="Apple-style-span" style="font-family: Arial, sans-serif;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: 21px; font-weight: 800; line-height: 24px;">S</span></span><br />
<div class="MsoNormal" style="text-align: left;"><span class="Apple-style-span" style="font-family: Arial, sans-serif;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: 21px; font-weight: 800; line-height: 24px;"><br />
</span></span></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<div class="separator" style="clear: both; line-height: 18pt; text-align: justify;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Handwriting'; font-size: 16pt; line-height: 115%;"><br />
</span></b></div><div class="MsoNormal" style="line-height: 18pt;"><b><span style="background-color: #d9ead3; color: #38761d; font-family: 'Lucida Handwriting'; font-size: 16pt; line-height: 115%;"><br />
</span></b></div><div class="MsoNormal"><span class="Apple-style-span" style="font-family: 'Lucida Handwriting';"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-size: 21px; line-height: 24px;"><b></b></span></span></div><div class="MsoNormal" style="text-align: justify;"><span class="Apple-style-span" style="color: #38761d; font-family: 'Lucida Handwriting';"><b style="background-color: #d9ead3;"><br />
</b></span></div><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d;"><br />
</span><br />
<div style="line-height: 18pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b><span style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: initial; background-origin: initial; font-size: 13.5pt;"><br />
</span></b></span></span></div><div style="line-height: 18pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b><span style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: initial; background-origin: initial; font-size: 13.5pt;"><br />
</span></b></span></span></div><div style="line-height: 18pt;"><span class="Apple-style-span"><span class="Apple-style-span" style="color: #38761d; font-family: Verdana, sans-serif;"><b><span style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: initial; background-origin: initial; font-size: 13.5pt;"><br />
</span></b></span></span></div></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-size: 13.5pt;"><span class="Apple-style-span" style="background-color: #d9ead3; color: #38761d; font-family: Verdana, sans-serif;"><br />
</span></span></div><div style="line-height: 18.0pt; margin-bottom: .0001pt; margin: 0cm; text-indent: -18.0pt;"><span style="background-attachment: initial; background-clip: initial; background-color: #d9ead3; background-image: initial; background-origin: initial; color: #38761d; font-family: Arial, sans-serif; font-size: 13.5pt;"><br />
</span><br />
<span style="background-attachment: initial; background-clip: initial; background-color: black; background-image: initial; background-origin: initial; color: white; font-family: Arial, sans-serif; font-size: 13.5pt;"><br />
</span></div><u1:p></u1:p>steven rodriguezhttp://www.blogger.com/profile/01951642029780015678noreply@blogger.com4tag:blogger.com,1999:blog-8732469005146348827.post-40887920135107174202011-08-08T14:51:00.000-07:002011-08-08T15:09:04.585-07:00fuerzas en un plano inclinado<br />
<div class="MsoNormal" style="font-weight: bold;"><br />
</div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">El plano inclinado prácticamente se puede definir como una maquina simple que son aparatos o mecanismos que se emplean para transmitir la acción de una fuerza desde un lugar a otro.</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">EL PLANO INCLINADO es un plano que forma un angulo con la horizontal</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">Vm = l / h</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
</span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">donde l : longitud del plano y h : la altura del plano</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
</span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">Esta maquina simple descompone la fuerza del peso en dos componentes : la normal </span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">( que soporta el plano inclinado ) y la paralela del plano ( que compensa la fuerza</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">aplicada ). De esta manera, el esfuerzo necesario para levantar la carga es menor y , </span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">dependiendo de la inclinación de la rampa, la ventaja mecánica es muy considerable. </span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
</span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
</span></span></div><div class="separator" style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">Al igual que las demás máquinas simples cambian fuerza por distancias.</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div class="separator" style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';"> El plano inclinado se descubre por accidente ya que se encuentra en forma natural, </span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div class="separator" style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">el plano inclinado es básicamente un triángulo donde su utiliza la hipotenusa, la función principal </span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div class="separator" style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">del plano inclinados levantar objetos por encima de la Horizontal.</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
</span></span></div><div style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Segoe Print';">El plano inclinado por decirlo así, su palabra se puede derivar también como tornillo o cuña.</span></b><span style="font-family: 'Segoe Print';"><o:p></o:p></span></span></span></div><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><b><u1:p></u1:p></b> </span></span><br />
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</span></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMRmrO1dN_EwBULc9mLaDMjOmKrCxKC-vV3EyB_B3lAuPoYf3by5Np6Co9NFGj1np3-7LVSXZ6hLvjMaivK0aPjMyJDbqVI-vKbLpxBx5-lbzCy_nuZganKY4kk6_cIZ2zi3eOyJxGdVzP/s1600/images.jpg" imageanchor="1" style="background-color: black; margin-left: 1em; margin-right: 1em;"><span class="Apple-style-span" style="color: white;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMRmrO1dN_EwBULc9mLaDMjOmKrCxKC-vV3EyB_B3lAuPoYf3by5Np6Co9NFGj1np3-7LVSXZ6hLvjMaivK0aPjMyJDbqVI-vKbLpxBx5-lbzCy_nuZganKY4kk6_cIZ2zi3eOyJxGdVzP/s1600/images.jpg" /></span></a></div><div align="center" class="separator" style="font-weight: bold; margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: center;"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><br />
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</span></span></div><div align="center" class="separator" style="margin-bottom: 0.0001pt; margin-left: 0cm; margin-right: 0cm; margin-top: 0cm; text-align: center;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"></span></span></div><div class="MsoNormal" style="font-weight: 800;"><br />
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<div class="MsoNormal" style="font-weight: 800; line-height: 18pt; margin-bottom: 6pt; margin-left: 0cm; margin-right: 0cm; margin-top: 4.8pt;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"><span style="background-color: black; font-family: 'Segoe Print';"><span class="Apple-style-span" style="color: white;">Para analizar las fuerzas existentes sobre un cuerpo situado sobre un plano inclinado, hay que tener en cuenta la existencia de varios orígenes en las mismas.<o:p></o:p></span></span></span></span></div><div class="MsoNormal" style="margin-bottom: 1.2pt; margin-left: 18pt; text-indent: -18pt;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><span style="font-family: Wingdings; font-weight: 800; line-height: 18pt;">§<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;">En primer lugar se debe considerar la existencia de una fuerzas de </span><span class="Apple-style-span" style="font-weight: 800; line-height: 24px;">gravedad</span><span class="Apple-style-span" style="font-weight: 800; line-height: 18pt;">, también conocida como peso</span><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;">, que es consecuencia de la masa</span><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;"> </span><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;">(<b>M</b>) que posee el cuerpo apoyado en el plano inclinado y tiene una magnitud de M.g con una dirección vertical y representada en la figura por la letra</span><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;"> </span><b style="font-weight: 800; line-height: 18pt;"><span style="font-family: 'Segoe Print';">G</span></b><span style="font-family: 'Segoe Print'; font-weight: 800; line-height: 18pt;">.<o:p></o:p></span></span></span></span></span></div><div class="MsoNormal" style="font-weight: 800; line-height: 18pt; margin-bottom: 1.2pt; margin-left: 18pt; text-indent: -18pt;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><span style="font-family: Wingdings;">§<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-family: 'Segoe Print';">Existe además una fuerza normal (<b>N</b>), también conocida como la fuerza de reacción ejercida sobre el cuerpo por el plano como consecuencia de la tercera ley de newton </span><span style="font-family: 'Segoe Print';">, se encuentra en una dirección perpendicular al plano y tiene una magnitud igual a la fuerza ejercida por el plano sobre el cuerpo.<o:p></o:p></span></span></span></span></span></div><div class="MsoNormal" style="font-weight: 800; line-height: 18pt; margin-bottom: 1.2pt; margin-left: 18pt; text-indent: -18pt;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;"><span style="font-family: Wingdings;">§<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-family: 'Segoe Print';">Existe finalmente una fuerza de razonamiento</span><span style="font-family: 'Segoe Print';">, también conocida como fuerza de fricción (<b>F<sub>R</sub></b>), que siempre se opone al sentido del movimiento del cuerpo respecto a la superficie, su magnitud depende tanto del peso como de las características superficiales del plano inclinado y la superficie en contacto del cuerpo que proporcionan un coeficiente de razonamiento</span><span style="font-family: 'Segoe Print';">. Esta fuerza debe tener un valor igual a</span><span style="font-family: 'Segoe Print';"> </span><b><span style="font-family: 'Segoe Print';">F<sub>1</sub></span></b><span style="font-family: 'Segoe Print';">=M.g.senα para que el cuerpo se mantenga en equilibrio. En el caso en que F<sub>1</sub></span><span style="font-family: 'Segoe Print';"> </span><span style="font-family: 'Segoe Print';">fuese mayor que la fuerza de rozamiento el cuerpo se deslizaría hacia abajo por el plano inclinado. Por tanto para subir el cuerpo se debe realizar una fuerza con una magnitud que iguale o supere la suma de F<sub>1</sub></span><span style="font-family: 'Segoe Print';"> </span></span></span><span style="font-family: 'Segoe Print';"><span class="Apple-style-span" style="background-color: black;"><span class="Apple-style-span" style="color: white;">+ F<sub>R</sub>.</span></span><o:p></o:p></span></span></span></div><div class="MsoNormal" style="color: blue; font-weight: 800;"><span class="Apple-style-span" style="font-family: 'Segoe Print';"><span class="Apple-style-span"><br />
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</span></span></div>steven rodriguezhttp://www.blogger.com/profile/01951642029780015678noreply@blogger.com0