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 - Exercises and Problems - Page 192: 26

Answer

36.86 kilograms

Work Step by Step

a) We find the minimum mass, which would be if it had the shape of a wheel: $I=mr^2 \\ m = \frac{I}{r^2}=\frac{7.8}{.46^2} =\fbox{36.86 kilograms}$. b) The moment of inertia is maximized when the mass is a long ways from the axis of rotation, so it could have more mass if more of the mass was closer to the axis of rotation.
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