### Mechanical Impedance Analysis

*Impedance analysis*is commonly used to analyze electrical circuits [110]. By means of equivalent circuits, we can use the same analysis methods for mechanical systems.

For example, referring to Fig.7.9, the Laplace transform of the force on the spring is given by the so-called

*voltage divider*relation:

^{8.2}

As a simple application, let's find the motion of the mass , after time zero, given that the input force is an impulse at time 0:

*velocity*Laplace transform is then

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