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Question: Answered & Verified by Expert
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
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Options:
  • A
    $\frac{\mathrm{R}_2}{\mathrm{R}_1}$
  • B
    $\left(\frac{\mathrm{R}_1}{\mathrm{R}_2}\right)^2$
  • C
    1
  • D
    $\frac{\mathrm{R}_1}{\mathrm{R}_2}$
Solution:
2467 Upvotes Verified Answer
The correct answer is:
$\frac{\mathrm{R}_1}{\mathrm{R}_2}$
$\frac{\mathrm{F}_1}{\mathrm{~F}_2}=\frac{\mathrm{R}_1 \omega^2}{\mathrm{R}_2 \omega^2}=\frac{\mathrm{R}_1}{\mathrm{R}_2}$

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