During operation a (500-mathrm{kg}) press machine is subject to an impulse of magnitude (5000 mathrm{~N} cdot mathrm{s}).

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During operation a \(500-\mathrm{kg}\) press machine is subject to an impulse of magnitude \(5000 \mathrm{~N} \cdot \mathrm{s}\). The machine is mounted on an elastic foundation that can be modeled as a spring of stiffness \(8 \times 10^{5} \mathrm{~N} / \mathrm{m}\) in parallel with a viscous damper of damping coefficient \(6000 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\). What is the maximum displacement of the press after the impulse is applied. Assume the press is at rest when the impulse is applied.

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