A hollow cylinder, a spherical shell, a solid cylinder and a solid spherea are followed to roll purely on an inclined rough of inclination `theta`. The CORRECT statements(s) is/are

Options

A. Frictional force will be equal for all the rolling objects, if they have same mass
B. if all the obejcts have same mass, the K.E. of the all the objects will be same at the bottom of inclined plane
C. work done by the frictional force will be zero .
D. if cylindertical shell can roll on inclined plane, all other objects will also roll.

Answer

BCD

Explanation

`f=(mg sin theta)/(1+(mR^(2))/I)` ltbRgt No displacement of point of contact. So work done =0
`mu gt (g tan theta)/(1+(mR^(2))/I)`
`I_(max) rArr mu_(reqd)` is max
`I_(max)` is for hollow cylinder.