Answer
$U =\frac{1}{2}mgL\theta^2 $
Work Step by Step
We use integration to find:
$ U = \int Fdx \\ U = \int_0^{\theta} mgsin\theta L d\theta $
$U = \int_0^{\theta} mg L \theta d\theta \\ U =\frac{1}{2}mgL\theta^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 13 - Exercises and Problems - Page 240: 61
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