Putnam 1995 B2

Session B

An ellipse, whose semi-axes have lengths $a$ and $b$ , rolls without slipping on the curve $y = c \sin \left( \frac{x}{a} \right)$ . How are $a,b,c$ related, given that the ellipse completes one revolution when it traverses one period of the curve?

Curated text Kedlaya Putnam archive. Quoted with source.

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