A 2 DOF system shown in the figure below, the dimensions of the system is described. The second mass is connected at the middle of the rod. 01 X2 L = 0.4 m K K = 900 N/m C2=5 N.s/m m2 = 4 kg K K =3125 N/m C = 100 N.s/m m = 5 kg Both K and c are supposed to be connected at the end point of the beam. Neglect the mass of the rod. 1- Derive the required equations of motion of the system. 2- Determine the natural frequencies.