The assembly of Prob. 8/40 is repeated here with the additional information that body ABC now has

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The assembly of Prob. 8/40 is repeated here with the additional information that body ABC now has mass m4 and a radius of gyration kO about its pivot at O, about which it is balanced. If a harmonic torque M = M0 cos wt is applied to body ABC, determine the equation of motion for the system in terms of the variable x. State the critical frequency c of the harmonic torque which will result in an excessively large system response. Evaluate wc for m1 = 15 kg, m2 = 12 kg, m3 = 8 kg, m4 = 6 kg, k1 = 400 N /m, k2 = 650 N /m, k3 = 225 N /m, c1 = 44 N ∙ s /m, c2 = 36 N∙ s /m, c3 = 52 N∙ s /m, a = 1.2 m, b = 1.8 m, c = 0.9 m, and kO = 0.75 m. What is the damping ratio ζ for these conditions?

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Engineering Mechanics Dynamics

ISBN: 9781118885840

8th Edition

Authors: James L. Meriam, L. G. Kraige, J. N. Bolton

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