The equation of motion of a spring-mass-damper system subjected to a harmonic force can be expressed as: * + 23 wx + w/2 = focoswt a) Find the steady-state response of the system in the form: x(t)= C cos wt + C sin wt b) Find the total response of the system in the form: x(t) = x(t) + xp (t) A cos wat + B sin wat + C cos wt + C sin wt Assume the initial conditions of the system as x(t = 0) = xo and x(t = 0) = xo.