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 :

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 : (A) (R2/R1) (B) ((R1/R2))2 (C) 1 (D) (R1/R2)

Tardigrade Admin · Accepted Answer

Since ω is constant, v would also be constant. So, no net force or torque is acting on ring. The force experienced by any particle is only along radial direction, or we can say the centripetal force. The force experienced by inner part, F1=mω2R1 (F1/F2)=(R1/R2)

Q. 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, $\frac{F _{1}}{F _{2}}$ is :

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

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

$1$

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

Q. 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, F2​F1​​ is :

R1​R2​​

(R2​R1​​)2

1

R2​R1​​

Since ω is constant, v would also be constant. So, no net force or torque is acting on ring. The force experienced by any particle is only along radial direction, or we can say the centripetal force. The force experienced by inner part, F1​=mω2R1​ F2​F1​​=R2​R1​​

Q. 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, $\frac{F _{1}}{F _{2}}$ is :

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

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

$1$

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