Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 10 - Exercises and Problems - Page 187: 75

Answer

$\frac{1}{2}MgLsin\theta$

Work Step by Step

We know that gravity acts at the center of a uniform rod, so we know that gravity acts at $L/2$ away from the pivot of the rod. We know that the force of gravity is equal to $Mg$. Thus, we use the equation for torque to find: $\tau =rFsin\theta$ $\tau = (L/2)(Mg)sin\theta$ $\tau=\frac{1}{2}MgLsin\theta$
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