Eur. Phys. J. B 12, 299-301 (1999)
https://doi.org/10.1007/s100510051007

Rolling as a "continuing collision"

¹ Moscow State University, Physics Department, Moscow 119899, Russia
² Humboldt-Universität, Institut für Physik () , Invalidenstrasse 110, 10115 Berlin, Germany

Corresponding author: ^a thorsten@physik.hu-berlin.de

Received: 5 May 1999
Published online: 15 November 1999

Abstract

We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles ϵ, which characterizes the energy loss upon collision, is directly related to the rolling friction coefficient for a viscous sphere on a hard plane. We quantify both coefficients in terms of material constants which allows to determine either of them provided the other is known. This relation between the coefficients may give rise to a novel experimental technique to determine alternatively the coefficient of restitution or the coefficient of rolling friction.