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Use the modal analysis and numerical integration to compute and plot the time response of the system, which has the equations of motion [2

 

Use the modal analysis and numerical integration to compute and plot the time response of the system, which has the equations of motion [2 0 0] (*1 12 -6 01(x1 12-6x2 0 3 sin 4t 0 -6 12. (4 sin 5t) 0402+-6 = Lo o subject to the initial conditions (0.1) x(0) = 0,x(0) = (0.1. -{8} 0 Assume modal damping of the form 3 =32=33 = 0.2

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