Question: A 125-kg machine has a passive isolation system for which c = 5000 N-m/s and k = 7 106 N/m. The rotating unbalance force

A 125-kg machine has a passive isolation system for which c = 5000 N-m/s and k = 7 × 106 N/m. The rotating unbalance force has an amplitude of 100 N with a frequency of 2500 rpm. The resonant frequency of this system is 216 rad/s and is close the frequency of the disturbance. In addition, the damping ratio is small (( = 0.08). Assuming that c and k cannot be changed, calculate the control gains required to give a damping ratio of ( = 0.5 and a resonant frequency of 100 rad/s, well below the disturbance frequency.

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