1.

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.

Answer» Correct Answer - 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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