Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 12 - Rotation of a Rigid Body - Conceptual Questions - Page 347: 4

Answer

No.

Work Step by Step

We know that the moment of inertial of an object is given by $$I=\int r^2dm$$ where $r$ is the object's dimension around some point we need to measure the object's moment of inertia at, and $dm$ is the distribution of the mass. For simplicity, take the moment of inertia of a disk. $$I_{disk}=\frac{1}{2}mR^2$$ where $m$ is the disk's mass and $R$ is its radius. This formula shows that the moment of inertia has no relation to the angular speed at all. It has no relation to whether the object is rotating or not. So, no, the object has a moment of inertia in both cases. It is representing some physical properties of the object.
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