A uniform thin cylindrical disk of mass $M$ and radius $R$ is attached to two id enthical massless springs of spring constant $k$ which are fixed to the wall as shown in the figure. The springs are attached to hte axle of hte disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in a horizontal plane. The unstretched length of each spring is L . The disk is initially at its equilibrium position with its centre of mass (CM) at a distance $L$ from the wall. The disk rolls without slipping with velocity $\overline{\mathrm{V}_0}=\mathrm{V}_0 \hat{\mathrm{i}}$. The coefficient of friction is $\mu$.
The maximum value of $V_0$ for which the disk will roll without slipping is
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