An annular ring with inner and outer radii R_1 and R_2 is rolling… - Vidyadip

MCQ

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, $\frac{\text{F}_1}{\text{F}_2}$is:

✓
$\text{R}_1|\text{R}_2$
B
$1$
C
$\Big(\frac{\text{R}_1}{\text{R}_2}\Big)$
D
$\frac{\text{R}_1}{\text{R}_2}$

✓

Answer

Correct option: A.

$\text{R}_1|\text{R}_2$

$\frac{\text{F}_1}{\text{F}_2}=\frac{\text{mR}_1\omega^2}{\text{mR}_2\omega^2}=\frac{\text{R}_1}{\text{R}_2}$

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