Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 8 - Rotational Motion - Problems - Page 225: 61

Answer

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Work Step by Step

a. Calculate the angular momentum using equation 8–18. $$L_i = I \omega = \frac{1}{2}MR^2 \omega = 0.5(2.8 kg)(0.28m)^2(\frac{1300 \times 2\pi rad}{60s})\approx 15 \frac{kg \cdot m^2}{s}$$ b. The required torque is the change in angular momentum per second. The final L is zero. $$\tau=\frac{0-L_i}{6.0s}=-2.5 N \cdot m$$ The negative sign verifies that the torque reduces the initial angular momentum.
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