Consider three solid spheres, sphere $\left(1\right)$ has radius $r$ and mass $m,$ sphere $\left(2\right)$ has radius $r$ and mass $3 \mathrm{m},$ sphere $\left(3\right)$ has radius $3 r$ and mass $m.$ All can be placed at the same point on the same inclined plane, where they will roll without slipping to the bottom. If allowed to roll down the incline, then at the bottom of the incline

In the situation given, a force $F$ is applied at the top of sphere. Study following statements.

A ring rolls without slipping on a horizontal surface. At any instant, its position is as shown in the figure. Then

Three spools $A,B$ and $C$ each having moment of inertia $I=M{R}^2/4$ are placed on rough ground and equal force $F$ is applied at positions as shown in Figs, $\left(\mathrm{a}\right),\mathrm{}\left(\mathrm{b}\right)$ and $\left(\mathrm{c}\right)$ . Then