A motor and position controller has an output position x(t) and an input voltage v(t). The transfer function for the system is X/V = [64(s+4)]/[s^2 +4s+8]
(a) Determine x(t) for a unit step input voltage such that v(t) = 1u(t).
(b) If the input voltage is v(t) sin(10t), what will be the steady-state output position, xss(t)?