Onerion$\mathrm{.}2$:

$14$ marks$/$

For the translational mechanical system with a nonlinear spring shown in Figure below, find the

transfer function, $G(x)=x\frac{S}{F}(S),$ for small excursions around $f(t)=1.$ The spring is defined by

$x_s(t)=1-e^{-f_s(t)}$

find Fs for upin'n

$v_1(t)=1-e^{-f_1(t)}$