# Circular Motion #5

A sphere of mass $$m$$, radius $$r$$ moves in a circle with constant speed $$v$$, always touching the inner surface of a fixed hollow cylinder with radius $$R$$. The top view of the system is shown. All surfaces are smooth. If the magnitude of the normal reaction (in Newtons) exerted by the cylinder on the sphere is $$\frac{ A } { B }$$ where $$A$$ and $$B$$ are co-prime positive integers, what is $$A + B$$?

• $$m = 0.1 \text{ kg}$$
• $$v = 1 \text{ m s}^{-1}$$
• $$r = 0.1 \text{ m}$$
• $$R = 1 \text{ m}$$

This problem is part of the set - Circular Motion Practice

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