Using Sheet 1 of the Excel spreadsheet provided below, consider the spring assemblage system shown. Wk4_Natural Frequencies & Mode Shapes.xlsx A.what is its degree of freedom (DOF) B.write the equation of motion (EOM) C.obtain the global mass matrix D.obtain the global stiffness matrix E.The eigenvalues X1 and X2 F.The natural frequencies w1 and w in units of rad/s G.The natural frequencies f1 and f2 in units of Hz H. The non-normalized mode shapes 1 and 2 I.Briefly explain the extreme importance of determining natural frequencies K1 = 200 N/mm K2 = 200 N/mm m1 = 20 Kg K3 = 150 N/mm K4 = 150 N/mm x1 m2 = 25 Kg K5 = 250 N/mm x2 m = 2 kg K = 10 N/m Mass Matrix M = m = 5 kg K = 20 N/m K3 = 5N/m 20 0 30 -20 Stiffness Matrix K = 5 -20 25 Eigenvalue equation a + b+c=0 a = 10 b = -200 C = 350 (rad/s) w (rad/s) f(Hz) Eigen- values = 1.93774 2 . = 18.0623 Natural Frequencies w (f) = W2 (2) 1.392028 0.22155 4.249971 0.6764 K1 = 30 N/m MWEM K2 = 70 N/m K3 = 15 N/m m1 = m2 = 15 kg 25 kg Mode Shapes $2 X 1 1 1 2 1.30623 -0.30623