On a mechanical lens

Alexander Ivanov; Nadezhda Erdakova

doi:10.1016/j.ijnonlinmec.2015.11.007

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arXiv · 1509.01413

On a mechanical lens

Alexander Ivanov·Nadezhda Erdakova

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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.

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Alexander Ivanov, Nadezhda Erdakova. 2015-09-04. On a mechanical lens. https://doi.org/10.1016/j.ijnonlinmec.2015.11.007

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