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: 12

Answer

$I_{O}=0.113$ kg*m$^2$

Work Step by Step

$m_{circle}=\pi (0.2)^2 (20)=0.8\pi$ kg $m_{square}=(0.2)^2 (20)=0.8$ kg $I_{O}=\Sigma I_{G}+md^2=(\frac{1}{4}(0.8\pi)(0.2)^2+0.8\pi (0.2)^2)-(\frac{1}{12}(0.8)(0.2^2+02^2)+0.8(0.2)^2)=0.113$ kg*m$^2$
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