For the dynamic system shown, m1=1/4kg,m2=1kg,k1=k2=k3=1N/m, b1=b2=b3=0.1Ns/m,f1(t)=3sint and f2(t)=2cos2t determine 1. The equations of motion. 2. The equations of motion in matrix form. 3. The mass, stiffiness, damping and forcing matrices. 4. The natural frequencies 5. The normalized mode shapes. 6. Transform the system into modal coordinates and determine: a. The modal damping coefficients matrix. b. The damping ratios. c. The force vector in modal coordinates. d. The decoupled equations of motion in modal coordinates