An electronic instrument, of mass \(20 \mathrm{~kg}\), is to be isolated to achieve a natural frequency of \(15 \mathrm{rad} / \mathrm{s}\) and a damping ratio of 0.95. The available dashpots can produce a damping constant

(c) in the range \(10 \mathrm{~N}-\mathrm{s} / \mathrm{m}\) to \(80 \mathrm{~N}-\mathrm{s} / \mathrm{m}\). Determine whether the desired damping ratio can be achieved using a passive system. If a passive system cannot be used, design a suitable active control system to achieve the desired damping ratio.