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Parametric Badger

Author:
Gareth Daniels
Topic:
Equations
The light blue point is moving at a constant speed back and forth along the black segment of length 10m, the badger is attached to the light blue point by a bar of length 3m. The badger is rotated around the blue point making a fixed number of full rotations each journey along the segment. Can you find the parametric equation of the curve?

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