University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 10 - Dynamics of Rotational Motion - Problems - Discussion Questions - Page 328: Q10.8


Find its moment of inertia.

Work Step by Step

Apply a known torque and measure the ball’s resulting angular acceleration. That gives the ball’s moment of inertia. $$\Sigma \tau = I\alpha$$ $$I = \frac{\Sigma \tau }{\alpha }$$ Using Table 9.2, the moments of inertia of the 2 objects are: $\frac{2}{5}MR^2$ for the solid sphere $\frac{2}{3}MR^2$ for the hollow sphere See which of these formulas better matches the ball’s moment of inertia, and you will know whether the ball is solid or hollow.
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