1. Consider the system shown in Figure-1 below. If zin(t) is a step force input to the system and the vertical displacement z(t) is the output as measured from the static equilibrium position, obtain the transfer function Z(s)/Zin(s) of the system. All initial conditions are zero. (20 pts) Fixed b1 m z k b2 zin(t) Moving base Figure-1. A vibration isolation system
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Step 1:** Apply Newton's second law to the system: \[mz''(t) + b_1z'(t) + (b_2z'(t) - z'(t)) + kz(t) = kzin(t) + b_2z'(t) - z'(t)\] ** Show more…
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