Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 17 - Planar Kinetics of a Rigid Body: Force and Acceleration - Section 17.1 - Mass Moment of Inertia - Problems: 1

Answer

$I_{y}=\frac{1}{3}ml^{2}$

Work Step by Step

$I_{y}=\int x^{2}dm=\int x^2(\rho A dx)= \frac{1}{3} \rho A l^3$ $m=\rho A l$ $I_{y}=\frac{1}{3}ml^{2}$
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