A (50 mathrm{~kg}) machine is mounted on an isolator with a stiffness of (6 times 10^{5} mathrm{~N}

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A \(50 \mathrm{~kg}\) machine is mounted on an isolator with a stiffness of \(6 \times 10^{5} \mathrm{~N} / \mathrm{m}\). During operation, the machine is subject to a harmonic excitation with a frequency of \(140 \mathrm{rad} / \mathrm{s}\).

(a) What is the frequency ratio?

(b) Does this isolator actually isolate the vibrations?

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