Rolling as a continuing collision
Materials Science
2009-11-07 v1
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 \epsilon, which characterizes the energy loss upon collision, is directly related to the rolling friction coefficient \mu_{roll} for a viscous sphere on a hard plane. We quantify both coefficients in terms of material constants which allow 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.
Cite
@article{arxiv.cond-mat/0203343,
title = {Rolling as a continuing collision},
author = {Nikolai V. Brilliantov and Thorsten Poeschel},
journal= {arXiv preprint arXiv:cond-mat/0203343},
year = {2009}
}