Consider the three mass-four spring system in Fig. P8.11. Determining the equations of mot...

Consider the three mass-four spring system in Fig. P8.11. Determining the equations of motion from  ΣFx = max for each mass using its free-body diagram results in the

FIGURE P8.11

following differential equations:

where k1 = k4 = 10 N/m, k2 = k3 = 40 N/m, and m1 = m2 = m3 = 1 kg. The three equations can be written in matrix form:

0 = {Acceleration vector}

+ [k/m matrix]{displacement vector x}

At a specific time where x1 = 0.05 m, x2 = 0.04 m, and x3 = 0.03 m, this forms a tridiagonal matrix. Use MATLAB to solve for the acceleration of each mass.