During operation a (80 mathrm{~kg}) machine tool is subject to a triangular pulse with a magnitude of

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During operation a \(80 \mathrm{~kg}\) machine tool is subject to a triangular pulse with a magnitude of \(30,000 \mathrm{~N}\) and duration of \(0.15 \mathrm{~s}\). What is the range of undamped isolator stiffness such that the maximum transmitted force is 15,000 \(\mathrm{N}\) and the maximum displacement is \(5 \mathrm{~cm}\) ?

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