The lower spring of Prob. 8/91 is replaced by a damper. Determine the equation of motion for the system in terms of the variable x. State the value of the viscous damping coefficient c which will give a damping ratio ζ = 0.2. Evaluate for m₁ = 25 kg, m₂ = 10 kg, m₃ = 15 kg, k = 450 N/m, r = 300 mm, and k_O = 200 mm.

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Xg = b sin ot www k m1 B m3, ko, m2