Essential University Physics: Volume 1 (3rd Edition)

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: 10.5

Answer

$ \frac{1}{12}ML^2$

Work Step by Step

We solve an integral to find: $I = \int r^2 dm = \int_{-L/2}^{L/2}x^2 \frac{M}{L}dx = \frac{1}{12}ML^2$
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