Problem: A popular brain teaser is to consider the motion of a quarter when you roll...

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Physics

Problem: A popular brain teaser is to consider the motion of aquarter when you roll it around another one; how many times willWashingtonâ€™s head rotate while the quarter rolls once around theother fixed quarter. This problem is a generalization of thispuzzle. Assume a system of units such that the radius of thequarter is equal to one unit. Your task is to determine aparameterized position vector describing the location of the whitedot on the rim of the rolling quarter. As the quarter moves, thisdot will sweep out a curve in space. Derive the parametricequations for the curve and plot it. Include a copy or sketch ofyour plot. Hint: The center of the rolling quarter travels along acircle of radius 2

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4.1 Ratings (694 Votes)

Consider that the center of the stationary coin is theoriginSuppose the white dot is the lowermost point when it touches thex axisThe white dot will move See Answer

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