An annular ring with inner and outer radii R_(1) and R_(2) is rolling without slipping with a uniform angular speed. The ratio of force experienced by the two particles situated on the inner and outer parts of the ring. (F_(1))/(F_(2)) = …………

An annular ring with inner and outer radii R_(1) and R_(2) is rolling

1.	An annular ring with inner and outer radii R_(1) and R_(2) is rolling without slipping with a uniform angular speed. The ratio of force experienced by the two particles situated on the inner and outer parts of the ring. (F_(1))/(F_(2)) = …………
Answer» `(R_(1))/(R_(2))` 1 `((R_(1))/(R_(2)))^(2)` `(R_(2))/(R_(1))` Solution :The centripetal force due to rolling ring, `(mv^(2))/(R )=F` `therefore (MR^(2)OMEGA^(2))/(r)=F` `therefore F=mromega^(2)` `therefore F_(1)=mR_(1)omega^(2)` `therefore F_(2)=mR_(2)omega^(2)` `therefore (F_(1))/(F_(2))=(R_(1))/(R_(2))`