PMID: 15244966Jul 13, 2004Paper

Rolling and slipping motion of Euler's disk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H CapsN Vandewalle

Abstract

We present an experimental study of the motion of a circular disk spun onto a table. With the help of a high speed video system, the temporal evolution of (i) the inclination angle alpha, (ii) the angular velocity omega, and (iii) the precession rate Omega are studied. The influence of the mass of the disk as well as the friction between the disk and the supporting surface are considered. Both inclination angle and angular velocity are observed to decrease according to a power law. We also show that the precession rate diverges as the motion stops. Measurements are performed very near the collapse as well as on long range times. Times to collapse have been also measured. Results are compared with previous theoretical and experimental works. The major source of energy dissipation is found to be the slipping of the disk on the plane.

References

Apr 29, 2000·Nature·H K Moffatt
Dec 16, 2000·Nature·G van den EnghJ Roach
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K EaswarNarayanan Menon
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lars Bildsten

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Citations

Sep 10, 2014·Proceedings. Mathematical, Physical, and Engineering Sciences·Daolin MaHongjian Zhang
Jan 20, 2018·Physical Review. E·Tamás Baranyai, Péter L Várkonyi
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mir Abbas JalaliMohammad-Reza Alam
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roberto Villanueva, Marcelo Epstein

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