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An annular ring with inner and outer rad...

An annular ring with inner and outer radii `R_1` and `R_2` is rolling wihtout slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, `F_1/F_2` is

A

1

B

`(R _(1))/(R _(2))`

C

`(R _(2))/(R _(1))`

D

`((R_(1))/(R_(2)))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The particles stiuated on the inner and outer parts of the annular ring experience the centripetal forces .
` C.P ` Force `= (mv^(2))/(R ) = m R omega ^(2) `
` therefore (F_(1) )/(F_(2)) = (m R _(1) omega ^(2))/(mR _(2) omega^(2))=(R_(1))/(R_(2))`
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