Cylinder says "Don't roll. Just hang on."

Two uniform solid cylinders A and B each of mass \(\sqrt{3}~ kg\) are connected by a light spring of force constant \(200~Nm^{-1}\) at their axles and are placed on a fixed wedge as shown in the figure. The coefficient of friction between the wedge and the cylinders is \(0.5\).

If \(x\) is the elongation in the spring at equilibrium then find \(\color{red}{100x}\).

Take \(g= 9.8~ms^{-2}\).

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