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: 17

Answer

$k=2.17$ m

Work Step by Step

$I_{O}=\Sigma I_{G}+md^2=(\frac{1}{12})(2)^2(2)+(2)(1)^2+(\frac{1}{2})(4)(0.5)^2+(4)(2.5)^2=28.17$ kg*m$^2$ $k=\sqrt{\frac{I_{O}}{m}}=\sqrt{\frac{28.17}{6}}=2.17$ m
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