A solid sphere of mass M and radius r shown in figure slides along a rough horizontal plane. At some instant it has translational velocity V_o and rotational velocity about the centre $\frac{{\mathrm{V}}_{\mathrm{o}}}{2\mathrm{r}}$. The translational velocity after the sphere starts pure rolling is $\frac{6{\mathrm{V}}_0}{\mathrm{N}}$. The value of N is ….