Question

An annular ring with inner and outer radii r1 and r2 is rolling without slipping

Answer 1

Answer:

As we learnt in

Centripetal Force -

(draw the image here)

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)

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

This is the correct option.

Option 3)

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

This is an incorrect option.

Option 4)

\left ( \frac{R_{1}}{R_{2}} \right )^{2}

This is an incorrect option.

Explanation: