Answer
$ \frac{1}{12}ML^2$
Work Step by Step
We solve an integral to find:
$I = \int r^2 dm = \int_{-L/2}^{L/2}x^2 \frac{M}{L}dx = \frac{1}{12}ML^2$
Essential University Physics: Volume 1 (3rd Edition)
by Wolfson, Richard
Published by
Pearson
ISBN 10:
0321993721
ISBN 13:
978-0-32199-372-4
Chapter 10 - Section 10.3 - Rotational Inertia and the Analog of Newton’s Law - Example - Page 174: 10.5
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