4.18. Derive the differential equation of motion of the system shown in Fig. P4.3, assuming small angular oscillations. Determine the steady state response of this system. For this system, let the rod be uniform and slender with mass m = 0.5 kg and I = 0.5m. Let k = 2000 N/m, c = 20N - s/m, and F = 10 sin 10r N. The initial conditions are 6 = 0 and 6o = 3 rad/s. Determine the displacement equation of the beam as a function of time. F= F, sin @t m,I,I

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