Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 10 - Section 10.3 - Rotational Inertia and the Analog of Newton’s Law - Example - Page 181: 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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