The motor-pump system shown in the figure is modeled as a rigid bar of mass m = 50 kg and mass moment of inertia J0 = 100 kg-m2. The foundation of the system can be replaced by two springs of stiffness k1 = 500 N/m and k2 = 200 N/m. Determine (a) the state-space representation of the system, and (b) unit-step and unit-impulse responses. Assume the distances between C.G. and springs (k1 and k2) as l1 = 0.4 m and l2 = 0.6 m.