On a mechanical lens
Classical Physics
2016-01-20 v1
Abstract
In this paper, we consider the dynamics of a heavy homogeneous ball moving under the influence of dry friction on a fixed horizontal plane. We assume the ball to slide without rolling. We demonstrate that the plane may be divided into two regions, each characterized by a distinct coefficient of friction, so that balls with equal initial linear and angular velocity will converge upon the same point from different initial locations along a certain segment. We construct the boundary between the two regions explicitly and discuss possible applications to real physical systems.
Cite
@article{arxiv.1509.01413,
title = {On a mechanical lens},
author = {Alexander Ivanov and Nadezhda Erdakova},
journal= {arXiv preprint arXiv:1509.01413},
year = {2016}
}