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Skier and loop-the-loop with friction

Kufel, Dominik; Sokal, Alan D; (2022) Skier and loop-the-loop with friction. American Journal of Physics , 90 (8) , Article 573. 10.1119/5.0095150. Green open access

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Abstract

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

Type: Article
Title: Skier and loop-the-loop with friction
Open access status: An open access version is available from UCL Discovery
DOI: 10.1119/5.0095150
Publisher version: http://dx.doi.org/10.1119/5.0095150
Language: English
Additional information: © 2022 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10153275
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