7 Cinematica Cuerpo Rigido

2013 - 2

FUNDAMENTOS DE DINÁMICA

CINEMÁTICA DE CUERPOS RÍGIDOS

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2013 - 2

Cinemática de Cuerpos Rígidos

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5.1 INTRODUCCIÓN 2013 - 2

Cuerpo Rígido o Sólido Rígido: Cuerpo en el que la distancia entre dos partículas se mantiene constante durante el movimiento (cuerpo indeformable). Objetivo: Relacionar las posiciones, velocidades y aceleraciones de las distintas partículas que forman un cuerpo rígido.

Tipos de Movimiento: Traslación: Cuando cualquier segmento lineal localizado en el interior del cuerpo conserva la misma dirección durante el movimiento.

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5.1 INTRODUCCIÓN 2013 - 2 Rotación con respecto a un eje fijo: Las partículas se desplazan desplazan en planos paralelos, paralelos, a lo largo de círculos centrados en el mismo eje (eje de rotación)

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5.1 INTRODUCCIÓN 2013 - 2 Movim iento plano general: general : Las partículas del cuerpo se desplazan en planos paralelos.

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5.1 INTRODUCCIÓN 2013 - 2 Movimiento con respecto a un pun to fijo: Unos de los puntos esta fijo, y cada partícula se mueve siguiendo una trayectoria situada en la superficie de una esfera centrada en el punto fijo.

Movim iento General: General : Cualquier movimiento de un cuerpo rígido que no queda comprendido dentro de cualesquiera de las categorías antes

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5.1 INTRODUCCIÓN 2013 - 2

Algunos ejemplos:

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5.1 INTRODUCCIÓN 2013 - 2

Algunos ejemplos:

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5.1 INTRODUCCIÓN 2013 - 2

Algunos ejemplos:

Movimiento Movimiento plano general

Traslación Curvilínea

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5.1 INTRODUCCIÓN 2013 - 2 • •

Traslación. Rotación con respecto a un eje fijo. o

Ecuaciones que definen la rotación de un cuerpo rígido con respecto a un eje fijo.

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5.2 TRASLACIÓN 2013 - 2

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5.3 ROTACIÓN CON RESPECTO A UN EJE FIJO

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5.3 ROTACIÓN CON RESPECTO A UN EJE FIJO

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5.3 ROTACIÓN CON RESPECTO A UN EJE FIJO

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PROBLEMAS

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PROBLEMAS 2013 - 2 5.10 En la figura, la rueda gira sin deslizarse deslizarse con velocidad angular constante ωD  = 1.60 rad/s, en sentido negativo. Determinar: La velocidad angular de la barra  AB  AB   y la velocidad del deslizador B  cuando el mecanismo está en la posición que se muestra. Utilice los centros instantáneos para las velocidades.

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5.7 ACELERACIÓN ABSOLUTA Y VELOCIDAD RELATIV RELA TIVA A EN EL MOVIMIENTO M OVIMIENTO PLANO. PLA NO. 2013 - 2