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 situated on the inner and outer parts of the ring is

• A. $\frac{R_{2}}{R_{1}}$
• B. $\frac{R_{1}}{R_{4}}$
• C. 1
• D. $\frac{R_{1}}{R_{2}}$

Answer 1

Answer: (D)

$\frac{R_{1}}{R_{2}}$

Answer 2

$\frac{F_{1}}{F_{2}} = \frac{mR_{1}\omega^{2}}{mR_{3}\omega^{2}} = \frac{R_{1}}{R_{2}}$