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Rolling along a square path: The dynamics of biased balls

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10.1119/10.0000905.1A biased ball rolled and spun on a horizontal surface exhibits interesting dynamics. We investigate the motion of a truncated billiard ball, via experiments, analytical methods, and numerical solutions of… Click to show full abstract

10.1119/10.0000905.1A biased ball rolled and spun on a horizontal surface exhibits interesting dynamics. We investigate the motion of a truncated billiard ball, via experiments, analytical methods, and numerical solutions of the equations of motion for a biased sphere rolling without slipping. Solutions are identified where the center of mass moves in a circular or a square path, and we investigate other quasi-periodic motions of the ball.

Keywords: path dynamics; along square; dynamics biased; rolling along; square path; path

Journal Title: American Journal of Physics
Year Published: 2020

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