Derive the equation of motion for the system shown in terms of the displacement x. The masses
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Derive the equation of motion for the system shown in terms of the displacement x. The masses are coupled through the light connecting rod ABC which pivots about the smooth bearing at point O. Neglect all friction, consider the rollers on m2 and m3 to be light, and assume small oscillations about the equilibrium position. State the system natural circular frequency wn and the viscous damping ratio ζ for m1 = 15 kg, m2 = 12 kg, m3 = 8 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, and c = 0.9 m.
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Related Book For
Engineering Mechanics Dynamics
ISBN: 9781118885840
8th Edition
Authors: James L. Meriam, L. G. Kraige, J. N. Bolton
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