Question: Derive the transfer function of a viscously damped system under rotating unbalance, with the equation of motion: [M ddot{x}+c dot{x}+k x=m e omega^{2} sin omega

Derive the transfer function of a viscously damped system under rotating unbalance, with the equation of motion:

\[M \ddot{x}+c \dot{x}+k x=m e \omega^{2} \sin \omega t\]

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