(a) Obtain the equations of motion of the system shown in Figure. The masses are m1 = 20 kg and m2 = 60 kg. The spring constants are k1 = 3 x 104 N/m and k2 = 6 x 104 N/m.
(b) Obtain the transfer functions X1(s)/F(s) and X2(s)/F(s).
(c) Obtain a plot of the unit-step response of x1 for zero initial conditions.

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