University Physics with Modern Physics (14th Edition)

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

Chapter 9 - Rotation of Rigid Bodies - Problems - Exercises - Page 297: 9.48

Answer

$I = 2MR^2$

Work Step by Step

$I_{com} = MR^2$ We can use the parallel axis theorem to find the moment of inertia when the axis of rotation is on a point on the edge of the hoop. Note that $d$ is the distance from the center of mass to the axis of rotation. $I = I_{com}+Md^2$ $I = MR^2+MR^2$ $I = 2MR^2$
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