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Nonlinear dynamics of a basketball rolling around the rim

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We analyse the dynamics of a basketball which rolls around the rim of a basketball hoop. The rolling steady motions are determined, and we investigate falling, slipping, and instability. The… Click to show full abstract

We analyse the dynamics of a basketball which rolls around the rim of a basketball hoop. The rolling steady motions are determined, and we investigate falling, slipping, and instability. The qualitative behaviour of the global dynamics is analysed and the possible trajectories are categorised. We investigate the effect of initial conditions which cause the basketball to fall inside or outside the basket or to remain on the rim.

Keywords: dynamics basketball; nonlinear dynamics; rim nonlinear; basketball; basketball rolling; around rim

Journal Title: Nonlinear Dynamics
Year Published: 2021

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