On the retrograde motion of a rolling disk

A.V. Borisov^a, b, c, A.A. Kilin^c, Yu.L. Karavaev^c, d
^aMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
^bInstitute of Computer Science, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
^cUdmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
^dIzhevsk State Technical University, Studencheskaya st. 7, Izhevsk, 426069, Russian Federaion

This paper presents theoretical and experimental research explaining the retrograde final-stage rolling of a disk under certain relations between its mass and geometric parameters. Modifying the no-slip model of a rolling disk by including viscous rolling friction provides a qualitative explanation for the disk's retrograde motion. At the same time, the simple experiments described in the paper fully compromise the drag moment as a key reason for the retrograde motion considered, thus disproving some recent hypotheses.

Keywords: retrograde turn, rolling disk, nonholonomic model, rolling friction
PACS: 02.60.Cb, 05.45.−a, 45.40.−f (all)
DOI: 10.3367/UFNe.2017.01.038049
URL: https://ufn.ru/en/articles/2017/9/e/
Web of Science

000417704200005
Scopus

2-s2.0-85020235209
ADS NASA

2017PhyU...60..931B
Citation: Borisov A V, Kilin A A, Karavaev Yu L "On the retrograde motion of a rolling disk" Phys. Usp. 60 931–934 (2017)

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Received: 1st, December 2016, revised: 10th, January 2017, accepted: 17th, January 2017

Оригинал: Борисов А В, Килин А А, Караваев Ю Л «О попятном движении катящегося диска» УФН 187 1003–1006 (2017); DOI: 10.3367/UFNr.2017.01.038049