(a) Find the equations of motion for the system, where m, and my are the masses of the two objects, k1, k2 and ka are the spring constants of the three springs. In addition, you are K K3 given that /1, /2 and I3 are the unstretched displacements of spring 1, spring 2, and spring 3, respectively. Rewrite the differential equations as a system of first-order differential equations, x = Ax + c, where x E R. m (b) What are the equilibrium configurations of the system for m1 = 3, m2 = 9, k1 = 1, k2 = 2, k3 = 0.5, l = 1, 12 = 2, 13 = 1? k2 (c) Suppose that the displacement of object 1 from the wall is 1 and its velocity is equal to 1 at t = 0. Additionally, suppose that the displacement of object 2 from the wall is 2 and its velocity is equal to -1 at time t = 0. With the parameter values defined in part b), Figure 1: Mass Spring system for Problem 4 compute and plot the approximate displacements of object 1 and 2 over the time interval [0, 20]