Question

A lawn roller in the form of a thin-walled hollow cylinder of mass `M` is pulled horizontally with a constant horizontally force `F` applied by a handle attached to the axle. If it rolls without slipping. Find the acceleration and the friction forces.
A. The frictional force is `F//2`
B. Acceleration is `F//2M`
C. Acceleration is `F//M`
D. The frictional force is `3F//4`

Answer 1

Correct Answer - A::B
`I=MR^(2)`
`a=Ralpha`
For pure rolling to take place
`(F-f)/M=R((fR)/(MR^(2)))=f/M`

`f=F/2impliesa=(F-f)/M=F/(2m)`