53. For the translational mechanical system with a nonlinear spring shown in Figure P2.33, find the...

 

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53. For the translational mechanical system with a nonlinear spring shown in Figure P2.33, find the transfer function, Control Solutions G(s) = X(s)/F(s), for small excursions around f(t) = 1. The spring is defined by x,(t) = 1-e-f.), where x,(t) is the spring displacement and f,(t) is the spring force. [Section: 2.10] WileyPLUS WPCS %3D Nonlinear x(1) spring 1 kg 1 N-s/m FIGURE P2.33 53. For the translational mechanical system with a nonlinear spring shown in Figure P2.33, find the transfer function, Control Solutions G(s) = X(s)/F(s), for small excursions around f(t) = 1. The spring is defined by x,(t) = 1-e-f.), where x,(t) is the spring displacement and f,(t) is the spring force. [Section: 2.10] WileyPLUS WPCS %3D Nonlinear x(1) spring 1 kg 1 N-s/m FIGURE P2.33