Skier and loop-the-loop with friction
arXiv:2003.02178 · doi:10.1119/5.0095150
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 . For each problem, we determine the exact "phase diagram" in the two-dimensional parameter plane.
LaTeX2e, 22 pages (main text plus two appendices) including 10 figures. Version 2 is much revised, thanks to helpful comments by referees. To be published in the American Journal of Physics