An annular ring with inner and outer radii R1 and R2 is rolling without slippling 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

Question

An annular ring with inner and outer radii R1 and R2 is rolling without slippling 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 (A) 1 (B)  ( (R1/R2) )  (C)  (R2/R1)  (D)  ( (R1/R2) )2

Tardigrade Admin · Accepted Answer

Let panicle A is situated on the inner part and B on the outer part of the ring. As the ring is moving with uniform angular speed therefore, both particles will feel centrifugal force. ∴ (F1/F2)=(FA/FB)=(mω 2R1/mω 2R2) ⇒ (F1/F2)=(R1/R2)

Q. An annular ring with inner and outer radii $R_{1}$ and $R_{2}$ is rolling without slippling 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, $\frac{F _{1}}{F _{2}}$ is

1

$(\frac{R _{1}}{R _{2}})$

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

$(\frac{R _{1}}{R _{2}})^{2}$

Q. An annular ring with inner and outer radii R1​ and R2​ is rolling without slippling 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, F2​F1​​ is

1

(R2​R1​​)

R1​R2​​

(R2​R1​​)2

Let panicle A is situated on the inner part and B on the outer part of the ring. As the ring is moving with uniform angular speed therefore, both particles will feel centrifugal force. ∴ F2​F1​​=FB​FA​​=mω2R2​mω2R1​​ ⇒ F2​F1​​=R2​R1​​

Q. An annular ring with inner and outer radii $R_{1}$ and $R_{2}$ is rolling without slippling 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, $\frac{F _{1}}{F _{2}}$ is

$(\frac{R _{1}}{R _{2}})$

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

$(\frac{R _{1}}{R _{2}})^{2}$