15 Figure 9-44 shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass 0.600 kg, and its center is initially at xy coordinates (-0.500 my = m, 0 m); the block has mass m, = 0.400 kg, and its center is initially at xy coordinates (0,-0.100 m). The mass of the cord and pulley are neg- ligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit-vec- tor notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t? (c) Sketch the path taken by the com. (d) If the path is curved, detemine whether it bulges upward to the right or downward to the left, and if it is straight, find the angle between it and the x axis.

Question
15 Figure 9-44 shows an arrangement with an air track, in which
a cart is connected by a cord to a hanging block. The cart has mass
0.600 kg, and its center is initially at xy coordinates (-0.500
my =
m, 0 m); the block has mass m, = 0.400 kg, and its center is initially at
xy coordinates (0,-0.100 m). The mass of the cord and pulley are neg-
ligible. The cart is released from rest, and both cart and block move
until the cart hits the pulley. The friction between the cart and the air
track and between the pulley and its axle is negligible. (a) In unit-vec-
tor notation, what is the acceleration of the center of mass of the
cart-block system? (b) What is the velocity of the com as a function
of time t? (c) Sketch the path taken by the com. (d) If the path is
curved, detemine whether it bulges upward to the right or downward
to the left, and if it is straight, find the angle between it and the x axis.
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Transcribed Image Text

15 Figure 9-44 shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass 0.600 kg, and its center is initially at xy coordinates (-0.500 my = m, 0 m); the block has mass m, = 0.400 kg, and its center is initially at xy coordinates (0,-0.100 m). The mass of the cord and pulley are neg- ligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit-vec- tor notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t? (c) Sketch the path taken by the com. (d) If the path is curved, detemine whether it bulges upward to the right or downward to the left, and if it is straight, find the angle between it and the x axis.