The input to the translational mechanical system shown in the following diagram is the displacement X3 ( t) of /,he Tight end of the spring k1 . The absolute displacements of m1 and m2 are x1 and x 2 , nspectively.
The forces exeTted by the springs are zero when x 1 = x 2 = x 3 = 0.

(a) Draw the free-body diagrams of the system,.

(b) Obtain the system dynamic equations of motion.