A rigid body of radius R, either hollow or solid, lies on a smooth horizontal surface. The body is pulled form rest by a horizontal force acting tengentially from the highest point. The distance travelled by the body in the time in which it makes one full rotation is the same that it will make in one full rotation during pure rolling. The rigid body will be

Options

A. solid sphere
B. hollow sphere
C. circular disc
D. hollow cylinder

Answer

4

Explanation

`tau=FxxR=Ialpha`
In one full rotation ,
`theta=2pi =1/2 alphat^(2)`
`t^(2)=(4pi)/(alpha) =(4piI)/(FR)`

Linear acceleration, a=F/m
Distance travelled in one rotation
`=2piR` (given)
`=1/2 at^(2) =1/2 F/M.(4pil)/(FR)=(2piI)/(MR)`
It gives `I=MR^(2)`
It is a hollow cylinder