Answer
$I_{y}=\frac{1}{3}ml^{2}$
Work Step by Step
$I_{y}=\int x^{2}dm=\int x^2(\rho A dx)= \frac{1}{3} \rho A l^3$
$m=\rho A l$
$I_{y}=\frac{1}{3}ml^{2}$
Engineering Mechanics: Statics & Dynamics (14th Edition)
by Hibbeler, Russell C.
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 - Page 418: 1
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