For a thin non-uniform disc of mass M and radius R the area density of mass, $\sigma$ as a function of distance r from its centre is given as  $\sigma ={\sigma }_0\left(1-\frac{r}{R}\right)$ . This disc is placed on a rough horizontal surface (coefficient of friction $=\mu$ ) and a constant horizontal force $\mathrm{F} = \mathrm{Mg}$, applied along the center of mass. The disc rolls without slipping on the surface, then choose the correct statement(s).[Moment of inertia of disc about its own axis is $\left.\frac{3M{R}^2}{10}\right]$