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arXiv · 2003.02178

Skier and loop-the-loop with friction

Dominik Kufel·Alan D. Sokal
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Abstract

We solve analytically the differential equations for a skier on a circular hill and for a particle on a loop-the-loop track when the hill or track is endowed with a coefficient of kinetic friction $\mu$. For each problem, we determine the exact "phase diagram" in the two-dimensional parameter plane.

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Dominik Kufel, Alan D. Sokal. 2020-03-04. Skier and loop-the-loop with friction. https://doi.org/10.1119/5.0095150

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