olymmath

ILL 1985 Problem 62

    A "large" circular disk is attached to a vertical wall. It rotates clockwise with one revolution per minute. An insect lands on the disk and immediately starts to climb vertically upward with constant speed π3\frac{\pi}{3} cm per second (relative to the disk). Describe the path of the insect

    (a) relative to the disk;

    (b) relative to the wall.

    Dataset text AI-MO AoPS. Quoted with source.

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