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16.117. Se muestra un ensamblaje de cuatro barras. Se aplicaun par T de 10 N m a la barra AB, que en el instante quemuestra esta girando en el sentido de las agujas del reloj conuna velocidad angular de 3 rad/s. Las barras AB y CD tienen300 mm de longitud. La barra BC es un arco circular de 400mm de radio y 450 mm de longitud. Todas las barras tienen unamasa de 10 kg/m.Cual sera la aceleracion angular de la barra

AB en el instante que se muestra?

16.1 19. Un astronauta esta ensamblando un laborator io espa-cial en el espacio exterior. En el instantc que se muestra, estetiene una viga con seccion en H construida con materiales com-puestos 13 y coplanar con otras dos vigas similares. Las vigasestan estacionarias unas respecto a otras. Utilizando un sistemade pequenos cohetes. el astronauta desarrolla una fuerza F d200 N siempre perpendicular a la viga A y en el plano de lasvigas. ¡,En que posición d deberá ejercer esta fuerza para conse-guir que la viga A se coloque paralela a los extremos superioresde las vigas C y D en 2 s? ¿Cual será la aceleración del centro demasas de A en el instante t = 1 s? La viga A tiene una masa de200 kg y una longitud de 10 m. Considerar la viga A como unabarra larga y delgada.

16.118. La barra AB que tiene una masa de 20 kg esta conec-tada con dos ruedas dentadas en sus extremos. Cada una deestas ruedas tiene un diametro de 300 mm y una masa de 5 kg.Las dos ruedas mencionadas engranan con una rueda dentadaestacionaria E . Si se aplica un par de 100 N m a la barra AB¿cuál será la aceleración angular de las ruedas dentadas pe-queñas?

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disco respecto a su centro de masas visto desde el eje CD? ¿ Cuserá el momento angular del disco respecto a su centro de ma-sas visto desde el terreno? El disco pesa 290 N.

17.43. Resolver el Problema 16.5 mediante los metodos de lacantidad de movimiento.

17.44. Un volante de inercia que tiene una masa de 1.000 kg seacelera hasta girar a 200 r/min en 360 s mediante un motoreléctrico que desarrolla un par de 60 N m.¿Cuál cs el radio degiro del volante de inercia?

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Sumando los numeradores y los denominadores de las Ecuaciones 17.35y 17.36. después de reordenar términos podemos decir:

Ahora nos detenemos a considerar la cinemática del movimiento.Podemos relacionar las velocidades de los puntos A y C del cuerpo(vease Fig. 17.36) como sigue:

Notese que el modulo de r CA es R . tal como se muestra en el diagrama.Como w es perpendicular al plano de simetría del cuerpo y, de esta

manera, a r CA el valor del último término de la Ecuación 17.38 es Rwcon una dirección perpendicular a R, como se muestra en la Fig. 17.36.Las componentes de los vectores de la Ecuacion 17.38 en la direccion n-nse pueden dar entonces como sigue:

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postimpacto nula del punto A? La barra tiene una masa M = 10 kg.

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17.84 Un tractor, junto con su conductor, tiene una masa de1,4 Mg. Si el motor desarrolla un par de 280 N m sobre cada

una de las ruedas motrices, ¿cuál será la velocidad del tractordespués de recorrer 3 m? Las grandes ruedas motrices tienen

una masa cada una de 90 kg, un diametro de 0,9 m y un radiode giro de 0,3 m. Las ruedas pequeñaas tienen una masa de 18 kg

cada una y un diametro de 0,3 m con un radio de giro de

6,12 m. No utilizar el procedimiento del centro de masas para elsistema conjunto.

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