(2) For the system shown below, find the following: (40 points each) (a) The equations of motion for the system for k=1000 N/m and m=10kg (b) the natural frequencies of the system (c) the response of the system if the initial conditions are X, 3 x(0) = 0, x(0) = 1 m/s x(0) = 5rad, x2(0) = 0 6 X2 K 2K wwwwww K www. 2m 9 0 K www