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Consider the three mass-four spring system in Fig. P8.11. Determining the equations of
Chapter 8, Problem 8.11(choose chapter or problem)
Consider the three mass-four spring system in Fig. P8.11. Determining the equations of motion from Fx = max for each mass using its free-body diagram results in the following differential equations: x1 + k1 + k2 m1 x1 k2 m1 x2 = 0 x2 k2 m2 x1 + k2 + k3 m2 x2 k3 m2 x3 = 0 x3 k3 m3 x2 + k3 + k4 m3 x3 = 0 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
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QUESTION:
Consider the three mass-four spring system in Fig. P8.11. Determining the equations of motion from Fx = max for each mass using its free-body diagram results in the following differential equations: x1 + k1 + k2 m1 x1 k2 m1 x2 = 0 x2 k2 m2 x1 + k2 + k3 m2 x2 k3 m2 x3 = 0 x3 k3 m3 x2 + k3 + k4 m3 x3 = 0 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
ANSWER: