A sphere of mass `m` and radius `r` is placed on a rough plank of mass `M`. The system is placed on a smooth horizontal surface. A constant force `F` is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.

Answer

`(2F)/(7M+2m)`

Explanation

For `M:F-f=MA`
Form,`f=ma`
`fr=2/5(mr^(2).a)`
For pure rolling
`a+alpha.r=A`
From these quations we have `a=(2F)/(7M+2m)`