Use the Laplace transform method to analyze the situation of an undamped absorber attached to a viscously

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Use the Laplace transform method to analyze the situation of an undamped absorber attached to a viscously damped system, as shown in Figure P6.67.

(a) Determine the steady-state amplitude of the mass \(m_{1}\).

(b) Use the results of part

(a) to design an absorber for a \(123 \mathrm{~kg}\) machine of natural frequency \(87 \mathrm{rad} / \mathrm{s}\) and damping ratio of 0.13 . Use an absorber mass of \(35 \mathrm{~kg}\).

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