Derive the transfer function of a viscously damped system subject to a harmonic base motion, with the
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Derive the transfer function of a viscously damped system subject to a harmonic base motion, with the equation of motion:
\[m \ddot{x}+c(\dot{x}-\dot{y})+k(x-y)=0\]
where \(y(t)=Y \sin \omega t\).
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