The radius of the pulley is R = 100 mm and its moment of inertia is I = 0.1 kg-m2. The mas...

The radius of the pulley is R = 100 mm and its moment of inertia is I = 0.1 kg-m2. The mass m = 5 kg, and the spring constant is k = 135 N/m. The cable does not slip relative to the pulley. The coordinate .x measures the displacement of the mass relative to the position in which the spring is unstretched. Determine x as a function of time if c = 60 N-s/m and the system is released from rest with x = 0.