Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 11 - Rolling, Torque, and Angular Momentum - Problems - Page 326: 73b

Answer

The torque about the origin is $~~0$

Work Step by Step

We can find the angular momentum about the origin: $L = rmv~sin~\phi$ Since the car moves along the x axis, the angle $\phi$ between the displacement vector and the velocity vector is either $\phi = 0^{\circ}$ or $\phi = 180^{\circ}$ Then $sin~\phi = 0$ and it follows that $L = 0$ The angular momentum about the origin is $~~0$ fro all values of $t$ The torque is equal to the change in angular momentum. Since the change in angular momentum is $0$ for all values of $t$, the torque is $0$ for all values of $t$
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