Question: During operation, a (100 mathrm{~kg}) machine tool is exposed to a force that is modeled as a sinusoidal pulse with a magnitude of (3100 mathrm{~N})

During operation, a $100 \mathrm{~kg}$ machine tool is exposed to a force that is modeled as a sinusoidal pulse with a magnitude of $3100 \mathrm{~N}$ and duration of $0.05 \mathrm{~s}$. Design an isolator with a damping ratio 0.1 such that the maximum force transmitted through the isolator is $2000 \mathrm{~N}$ and the maximum displacement of the machine tool is $3 \mathrm{~cm}$.

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