Fundamentals of Physics Extended (10th Edition)

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

Chapter 10 - Rotation - Problems - Page 292: 72b

Answer

$\tau = 11.7~N\cdot m$

Work Step by Step

In part (a), we found that the magnitude of the angular acceleration is $~~\alpha = 7.66~rad/s^2$ We can find the rotational inertia: $I = (\frac{1}{12})(6.40~kg)(1.20~m)^2+(2)(1.06~kg)(0.600~m)^2$ $I = 1.53~kg~m^2$ We can find the magnitude of the torque: $\tau = I~\alpha$ $\tau = (1.53~kg~m^2)(7.66~rad/s^2)$ $\tau = 11.7~N\cdot m$
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