Question: A 5-kg rotor-balancing machine is mounted on a table through an elastic foundation of stiffness (3.1 times 10^{4} mathrm{~N} / mathrm{m}) and damping ratio 0.04

A 5-kg rotor-balancing machine is mounted on a table through an elastic foundation of stiffness \(3.1 \times 10^{4} \mathrm{~N} / \mathrm{m}\) and damping ratio 0.04 . Transducers indicate that the table on which the machine is placed vibrates at a frequency of \(110 \mathrm{rad} / \mathrm{s}\) with an amplitude of \(0.62 \mathrm{~mm}\). What is the steady-state amplitude of acceleration of the balancing machine?

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