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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 16P

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