Question: A (20 mathrm{~kg}) machine tool is on a foundation that is subject to an acceleration that is modeled as a versed sine pulse with a

A $20 \mathrm{~kg}$ machine tool is on a foundation that is subject to an acceleration that is modeled as a versed sine pulse with a magnitude of $20 \mathrm{~m} / \mathrm{s}^{2}$ and duration of $0.4 \mathrm{~s}$. Design an undamped isolator such that the maximum acceleration felt by the machine is $15 \mathrm{~m} / \mathrm{s}^{2}$. What is the maximum displacement of the machine tool relative to its foundation when this isolator is used?

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