Consider the system vibrating under the influence of an unbalanced mass operated by a motor given in the figure above. (a) Find the equation(s) of motion of the system (10pts) (b) What is the maximum amplitude of the steady-state oscillations of the system and at what motor speed, w, does this occur? (10pts) (c) What will be the maximum steady-state displacement of the block if the motor is operating at 1500 rpm (revolutions per minute)? (10pts) Use M = 2kg, k = 100N/m, b = 10Ns/m, e = 0.1m, m, = 0.1kg ww k/2 M Viscous friction, b +x(t) mb ww k/2