The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.540 kg, and its center is initially at xy coordinates (- 0.330 m, O m); the block has mass m2 = 0.320 kg, and its center is initially at xy coordinates (0, - 0.140 m). The mass of the cord and pulley are negligible. 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- vector 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, in unit-vector notation?

The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.540 kg, and its center is initially at xy coordinates (- 0.330 m, O m); the block has mass m2 = 0.320 kg, and its center is initially at xy coordinates (0, - 0.140 m). The mass of the cord and pulley are negligible. 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- vector 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, in unit-vector notation?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...

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