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: 75b

Answer

$\alpha = 1.4~rad/s^2$

Work Step by Step

We need to consider the torque on the person due to the gravitational force and due to the pole's weight. We can find the magnitude of the initial angular acceleration: $\tau = I~\alpha$ $\alpha = \frac{\tau}{I}$ $\alpha = \frac{m_1g~d_1-m_2g~d_2}{I}$ $\alpha = \frac{(70.0~kg)(9.8~m/s^2)(0.050~m)-(14.0~kg)(9.8~m/s^2)(0.10~m)}{15.0~kg~m^2}$ $\alpha = 1.4~rad/s^2$
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