A force `F` acts tangentially at the highest point of a sphere `f` mass m kept on a rough horizontal plane. If the sphere rolls without slipping, find the acceleration of the centre of the sphere.

Options

A. `(5)/(3) (F)/(m)`
B. `(3F)/(5m)`
C. `(10 F)/(7m)`
D. `(10 F)/(7 m)`

Answer

C

Explanation

`F -f = ma` (i)
`(F + f) xx R = (2)/(5)mR^(2) xx alpha` (ii)
From eq. (i) and (ii)
`a = (10F)/(7m)`