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For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f= 3 N-s/m, (a) obtain the transfer function

For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f= 3 N-s/m, (a) obtain the transfer function of X(s) / F(s). (b) Specify the form of the time response after finding the damping ratio and natural frequency. (c) What would be the maximum and steady state values of the displacement, Xmax and ca or c(0), respectively, when a constant 10 Nm torque is applied? (d) Write the general expression of the time response x(t). K M Fig.4

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