# An electronic instrument, weighing (1000 mathrm{~N}), is supported on a rubber mounting whose forcedeflection relationship is given

## Question:

An electronic instrument, weighing \(1000 \mathrm{~N}\), is supported on a rubber mounting whose forcedeflection relationship is given by \(F(x)=157 x+0.2 x^{3}\), where the force \((F)\) and the deflection \((x)\) are in newtons and millimeters, respectively. Determine the following:

**a.** Equivalent linear spring constant of the mounting at its static equilibrium position.

**b.** Deflection of the mounting corresponding to the equivalent linear spring constant.

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