Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 12 - Rotation of a Rigid Body - Exercises and Problems - Page 348: 18

Answer

$\tau_{net} = -0.20~Nm$

Work Step by Step

We can find the magnitude and direction of the net torque on the disk. We do this by multiplying the magnitude of the applied force, the distance from the center of the disk, and the angle measured counterclockwise between the distance from the center of the disk and the applied force. $\tau_{net} = Fr\sin\phi$ $\tau_{net} = F_1~r_1\sin\phi_1 + F_2~r_2\sin\phi_2$ $\tau_{net} = (30~N)(.02~m)\sin(-90^{\circ})+(20~N)(.02~m)\sin(90^{\circ})$ $\tau_{net} = -0.20~Nm$ This means that the torque on the disk is $-.20~ Nm$ in the clockwise direction.
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