First slide

Force

Question

An annular ring with inner and outer radii R₁, and R₂, 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 F₁/F₂, is

Easy

A

1
B

$R_{1} / R_{2}$
C

$R_{2} / R_{1}$
D

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

Solution

Here, $F_{1} = {mω}^{2} R_{1}$
and $F_{2} = {mω}^{2} R_{2}$
$∴ \frac{F_{1}}{F_{2}} = \frac{R_{1}}{R_{2}}$

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