Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 9 - Rotational Dynamics - Focus On Concepts - Page 242: 12



Work Step by Step

- The weight of the heavier block $W_1=(12kg)(9.8m/s^2)=117.6N$ produces a counterclockwise (positive) torque. The lever arm is $0.6m$ - The weight of the lighter block $W_2=(4kg)(9.8m/s^2)=39.2N$ produces a clockwise (negative) torque. The lever arm is $1.4m$ According to Newton's 2nd law of rotational motion, $$\sum\tau=I\alpha$$ $$(0.6m)W_1-(1.4m)W_2=I\alpha$$ $$I\alpha=15.68$$ $$\alpha=\frac{15.68}{12}=1.3rad/s^2$$
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