Consider a system with two masses as shown. A. Find a set of equations of motion and write them in matrix form (do not solve them) B. Determine the natural frequencies, eigen C2 C3 m 1 m2 k. k. k. values, eigen modes and natural mode F2 shapes of the system. Consider a undamped free system for this calculation. Assume F1(t) and F2(t) are zero for this case. C. Rewrite the system equations for the part B.