Consider the mechanical and the electrical systems shown in the following diagrams. (a) Obtain the transfer function

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Consider the mechanical and the electrical systems shown in the following diagrams.

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(a) Obtain the transfer function of the mechanical system, where \(x_{i}(t)\) is the input and \(x_{o}(t)\) is the output.

(b) Obtain the transfer function of the electrical system, where \(v_{i}(t)\) is the input and \(v_{o}(t)\) is the output.

(c) Show that the transfer functions of the two systems have an identical form and are thus analogous.

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