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A ring and a disc of same mass m and sam...

A ring and a disc of same mass `m` and same radius `R` are joinged concentrically. This system is placed on a smooth plane with the common axis parallel to the plane as shown in figure. A horizontal force `F` is applied on the system at a point which is at a distance `x` from the centre. The value of `x` so that it starts pure rolling is

A

`(R)/(2)`

B

`(3R)/(4)`

C

`R`

D

Pure rollong is not possible as the floor is smooth.

Text Solution

Verified by Experts

The correct Answer is:
B
`a_(cm)=(F)/(2m)alpha=(F.x)/((mR^(2))/(2)+mR^(2))=(2F.x)/(3mR^(2))`
`a_(cm)=alphaR`
`(F)/(2m)=(2Fx)/(3mR^(2))R, x=(3R)/(4)`
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