Physics - SHM Question with Solution | TestHub

Paragraph:A uniform thin cylindrical disk of mass $M$ and radius $R$ is attached to two identical massless springs of spring constant $k$ which are fixed to the wall as shown in the figure. The springs are attached to the axle of the 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 Lfrom the wall. The disk rolls without slipping with velocity ${\mathbf{v}}_0=v_0\hat{\mathbf{i}}$ The coefficient of friction is $\mu$.
Question:The maximum value of $v_0$ for which the disk will roll without slipping is