Consider the system below where k = k = 1000 N/m, k3 = k = 1500 N/m, c = 20 N s/m, m = 2 kg, m = 0.5 kg, and m3 = 1 kg. Do the following a) Express the equations of motion in matrix form. b) Find the poles (eigenvalues) of the system. c) Find the dampings (3's) and natural frequencies (wn's) 000 m2 F m1 k1 KA k28 m3 000 K3 Figure 6: Multi-degree of freedom vibration setup