SOLVED: Consider the two-mass, three-spring system shown in Fig. 1 with m1 = 1, m2 = 4/3, k1 = 1, k2 = 3, and k3 = 4/3.FtFtkik3mi WMWWMWMWM m2Figure 1a. Derive the system of equations that describe the motion of the two masses and convert the system to four first-order equations of the form y' = Ay. Determine the coefficient matrix A. b. Find the eigenvalues and eigenvectors of A. C. Solve the initial value problem with initial conditions y(0)=(2,1,0,0)T
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