Circular orbits of a ball on a rotating conical turntable

2018/12/06 by Borisov, Alexey V., Ivanova, Tatiana B., Kilin, Alexander A. +1
#Classical Physics (physics.class-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1812.02739

Abstract

This paper is concerned with the study of the rolling without slipping of a dynamically symmetric (in particular, homogeneous) heavy ball on a cone which rotates uniformly about its symmetry axis. The equations of motion of the system are obtained, partial periodic solutions are found and their stability is analyzed.

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