Show that the kinetic energy of an object rotating about a fixed axis with angular momentum L = Iω can be written as K = L2/2I.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 10CQ: If you know the velocity of a particle, can you say anything about the particle’s angular momentum?
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Show that the kinetic energy of an object rotating about a fixed axis with angular momentum L =  can be written as K = L2/2I.

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