# 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 , Option 1) 1 Option 2) Option 3) Option 4)

As we learnt in

Centripetal Force -

$F=4m\pi^{2}n^{2}r$

$F=\frac {4m\pi^{2}n^{2}r} {T^{2}}$

F = Centripetal force

$\omega=$ Angular velocity

n = frequency

- wherein

Force acts on the body along the radius and towards centre.

Centripetal force on particle = $mR\omega ^{2}$

$\therefore \: \: \: \frac{F_{1}}{F_{2}}= \frac{mR_{1}\omega ^{2}}{mR_{2}\omega ^{2}}= \frac{R_{1}}{R_{2}}$

Correct option is 2.

Option 1)

1

This is an incorrect option.

Option 2)

This is the correct option.

Option 3)

This is an incorrect option.

Option 4)

This is an incorrect option.

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