for the systems showing below, determine: -F(t) 2000 (N/m), + 36 (N.s/m) x(t) 20 (kg) 307 (N/m) C 30 (N.s/m) total free undamped and damped responses x (t) if the system is at rest and starts move from the rest with initial conditions of x = = 0.04 m and Vo = 0 m/s. total forced undamped response x(t) if the system is at rest and starts move from the rest with initial conditions of x = 0.02 m and vo = 3 m/s. Take F(t) = 5 cos (30t).