Consider the three mass-four spring system in Figure. Determining the equations of motion from Fx = m, for each mass using its free-body diagram results

Consider the three mass-four spring system in Figure. Determining the equations of motion from ∑Fx = mα, for each mass using its free-body diagram results in the following differential equations:

Where k1 = k4 = 10 N/m, k2 = k3 = 30 N/m, and m1 = m2 = m3 = m4 2 kg. Write the three equations in matrix from:

(), kj + k2 + k2 |X1 k2 + p. k2 + k3 X2 k X 0 p. p k + ka k X2 + . X X 0