Consider the three mass-four spring system in Figure. Determining the equations of motion from Fx = m,

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:

Transcribed Image Text:

(), ´kj + k2 х + k2 |X1 т k2 х + тp. k2 + k3 X2 kз Xз — 0 тp. х тp kз + ka kз X2 + тз. Xз Xз — 0 тз