An annular ring with inner and outer radii $R_1$ and $R_2$ is rolling without slipping with a uniform…

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, $F_1 / F_2$ is
  1. $\frac{\mathrm{R}_2}{\mathrm{R}_1}$
  2. $\left(\frac{\mathrm{R}_1}{\mathrm{R}_2}\right)^2$
  3. 1
  4. $\frac{\mathrm{R}_1}{\mathrm{R}_2}$

Solution

$\frac{\mathrm{F}_1}{\mathrm{~F}_2}=\frac{\mathrm{R}_1 \omega^2}{\mathrm{R}_2 \omega^2}=\frac{\mathrm{R}_1}{\mathrm{R}_2}$

Asked in: JEE Main 2005

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