A damped system has the following parameters: (m=2 mathrm{~kg}, c=3 mathrm{~N}-mathrm{s} / mathrm{m}), and (k=40 mathrm{~N} /
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A damped system has the following parameters: \(m=2 \mathrm{~kg}, c=3 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), and \(k=40 \mathrm{~N} / \mathrm{m}\). Determine the natural frequency, damping ratio, and the type of response of the system in free vibration. Find the amount of damping to be added or subtracted to make the system critically damped.
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