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 the forces experienced b - Physics MCQ AIEEE 2026 | ExamTest.live

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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 the forces experienced by the two particles situated on the inner and outer parts of the ring, F_{1} / F_{2} is:

Solution & Step-by-step Explanation

A particle on a rotating body at a distance r from the axis of rotation experiences a centripetal force given by F = m ω^{2} r .Assuming the particles have the same mass m :For the particle on the inner part: F_{1} = m ω^{2} R_{1} For the particle on the outer part: F_{2} = m ω^{2} R_{2} The ratio is: \frac{F _{1}}{F _{2}} = \frac{m ω ^{2} R _{1}}{m ω ^{2} R _{2}} = \frac{R _{1}}{R _{2}}

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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 the forces experienced by the two particles situated on the inner and outer parts of the ring, F_{1} / F_{2} is:

R_{2} / R_{1}

(R_{1} / R_{2})^{2}

1

R_{1} / R_{2}

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