Question 373: Centre of Mass and Rotational Motion

Question

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, $${{{F_1}} \over {{F_2}}}\,$$ is

Accepted Answer

Let the mass of each particle is m.
Then force experienced by each particle, $$F = m{\omega ^2}R$$
$$	herefore$$ $${{{F_1}} \over {{F_2}}} = {{m{\omega ^2}{R_1}} \over {m{\omega ^2}{R_2}}}$$
$$ \Rightarrow $$ $${{{F_1}} \over {{F_2}}} = {{{R_1}} \over {{R_2}}}$$

Answer

$${\left( {{{{R_1}} \over {{R_2}}}} \right)^2}$$

Answer

$${{{{R_2}} \over {{R_1}}}}$$

Answer

$${{{{R_1}} \over {{R_2}}}}$$

Answer

$$1$$

Centre of Mass and Rotational Motion

An annular ring with inner and outer radii ${R_1} and {R_2} is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, {{{F_1}} \over {{F_2}}}\,$ is

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