A 5-kg rotor-balancing machine is mounted to a table through an elastic foundation of stiffness (10,000 mathrm{~N}

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A 5-kg rotor-balancing machine is mounted to a table through an elastic foundation of stiffness \(10,000 \mathrm{~N} / \mathrm{m}\) and damping ratio 0.04 . Use of a transducer reveals that the table's vibration has two main components: an amplitude of \(0.8 \mathrm{~mm}\) at a frequency of \(140 \mathrm{rad} / \mathrm{s}\) and an amplitude of \(1.2 \mathrm{~mm}\) at a frequency of 200 \(\mathrm{rad} / \mathrm{s}\). Determine the steady-state response of the rotor balancing machine.

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