Determine the transfer function for the relative displacement of a SDOF system with base motion defined as

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Determine the transfer function for the relative displacement of a SDOF system with base motion defined as \(G(s)=\frac{Z(s)}{Y(s)}\) where \(Z(s)\) is the Laplace transform of the relative displacement and \(Y(s)\) is the Laplace transform of the motion of the base.

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