A nonlinear translational spring obeys the force-displacement law [f(x)=|x| x .] Determine the linearised element law in

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A nonlinear translational spring obeys the force-displacement law

\[f(x)=|x| x .\]

Determine the linearised element law in numerical form for each of the following operating points

\[\tilde{x}_{1}=-1, \tilde{x}_{2}=0, \tilde{x}_{3}=1, \quad \tilde{x}_{4}=2 .\]

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