A SDOF system with (m=20 mathrm{~kg}, k=10,000 mathrm{~N} / mathrm{m}), and (c=540 mathrm{~N} cdot mathrm{s} / mathrm{m})

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A SDOF system with \(m=20 \mathrm{~kg}, k=10,000 \mathrm{~N} / \mathrm{m}\), and \(c=540 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\) is at rest in equilibrium when a \(50 \mathrm{~N} \cdot \mathrm{s}\) impulse is applied. Determine the response of the system.

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