An annular ring with inner and outer radii as $R_{1}$ and $R_{2}$ is rolling without slipping with a uniform angular speed. The ratio of the force experienced by the two points situated on the inner and outer parts of rings is:

\frac{{R^{2}}_{2}}{{R^{2}}_{1}}

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\frac{R_{2}}{R_{1}}

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1

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\frac{R_{1}}{R_{2}}

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Solution

The correct option is C $\frac{R_{1}}{R_{2}}$
Force experience by particle on ring $(F) = m R ω^{2}$
$\frac{F_{1}}{F_{2}} = \frac{m R_{1} ω^{2}}{m R_{2} ω^{2}}$ = $\frac{R_{1}}{R_{2}}$

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