Advanced Vibration Ex. 2Submit: Monday, February 28, 2011 1.Consider the system shown in Figure 1. (a)Write the differential equation of motion for the system. (b)Determine its poles and mode shapes analytically by using per-symmetry. Compare your result to that obtained by Matlab. Figure 1 2.A force ( )ttf4sin=is applied to the system shown in Figure 2. The initial conditions are: ( )⎟⎟⎠⎞⎜⎜⎝⎛=010xand ( )⎟⎟⎠⎞⎜⎜⎝⎛=200x&. (a)What is the steady state amplitude of the system? (b)Simulate and plot the dynamic of the system for the time interval 50≤
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