A \(50 \mathrm{~kg}\) lathe mounted on an elastic foundation of stiffness \(4 \times 10^{5} \mathrm{~N} / \mathrm{m}\) has a vibration amplitude of \(35 \mathrm{~cm}\) when the motor speed is \(95 \mathrm{rad} / \mathrm{s}\). Design an undamped dynamic vibration absorber such that steady-state vibrations are completely eliminated at \(95 \mathrm{rad} / \mathrm{s}\) and the maximum displacement of the absorber mass at this speed is \(5 \mathrm{~cm}\).