Prob. # 4] a) Derive the differential equation of motion for the system, as shown below; b) Compute the amplitude of the steady-state vibration and the phase angle if W = 6 Ibr, k= 500 lb:/ft, c = 18 Ib-s/ft, Y = 1.5 inches, and o = 20 rad/s. Figure P4 | ) = Ysinest W

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