For the translational mechanical system with a nonlinear spring shown in Figure P2.35, find the transfer function,

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For the translational mechanical system with a nonlinear spring shown in Figure P2.35, find the transfer function, G(s) = X(s)/F(s), for small excursions around f (t) = 1. The spring is defined by xs(t) = 1 - e-fs(t), where xs(t) is the spring displacement and fs(t) is the spring force.

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