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 L from the wall. The disk rolls without slipping with velocity $$\overrightarrow{V_0} = V_0\hat{i}$$. The coefficient of friction is $$\mu$$.
The centre of mass of the disk undergoes simple harmonic motion with angular frequency $$\omega$$ equal to
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