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Translation Mechanical System

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A dymamic absorber is shown. This system is representative of many situations involving the vibration of machines containing unbalanced components. The parameters \(M_{2}\) \(K_{2},\) and \(B_{2}\) may be chosen so that the main mass \(M_{2}\) does not vibrate in response to foundation vibration.

a) Determine the equation of motionsdescribing the dynamics of the system.

b) Determine the transfer function for \(\frac{Y_{2}(s)}{Y_{0}(s)^{\prime}}\)

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