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16.117. Se muestra un ensamblaje de cuatro barras. Se aplica
un par T de 10 N m a la barra AB, que en el instante que
muestra esta girando en el sentido de las agujas del reloj con
una velocidad angular de 3 rad/s. Las barras AB y CD tienen
300 mm de longitud. La barra BC es un arco circular de 400
mm de radio y 450 mm de longitud. Todas las barras tienen una
masa 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 laboratorio espa
cial en el espacio exterior. En el instantc que se muestra, est
tiene una viga con seccion en H construida con materiales com
puestos13
y coplanar con otras dos vigas similares. Las viga
estan estacionarias unas respecto a otras. Utilizando un sistem
de pequenos cohetes. el astronauta desarrolla una fuerza F d
200 N siempre perpendicular a la viga A y en el plano de la
vigas. ¡,En que posición d deberá ejercer esta fuerza para conse
guir que la viga A se coloque paralela a los extremos superiore
de las vigas C y D en 2 s? ¿Cual será la aceleración del centro d
masas de A en el instante t = 1 s? La viga A tiene una masa d
200 kg y una longitud de 10 m. Considerar la viga A como un
barra 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 d
estas 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? ¿Cu
será 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
cantidad de movimiento.
17.44. Un volante de inercia que tiene una masa de 1.000 kg
acelera hasta girar a 200 r/min en 360 s mediante un mo
eléctrico que desarrolla un par de 60 N m.¿Cuál cs el radio
giro del volante de inercia?
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Sumando los numeradores y los denominadores de las Ecuaciones 17.35
y 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 rCA es R. tal como se muestra en el diagrama.
Como w es perpendicular al plano de simetría del cuerpo y, de esta
manera, a rCA el valor del último término de la Ecuación 17.38 es Rw
con 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-n
se 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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17.84Un tractor, junto con su conductor, tiene una masa de
1,4 Mg. Si el motor desarrolla un par de 280 N m sobre cada
una de las ruedas motrices, ¿cuál será la velocidad del tractor
después de recorrer 3 m? Las grandes ruedas motrices tienen
una masa cada una de 90 kg, un diametro de 0,9 m y un radio
de 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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