A (20 mathrm{~kg}) machine tool is on a foundation that is subject to an acceleration that is
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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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