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arxiv: 1812.02739 · v2 · pith:QVZHU3MHnew · submitted 2018-12-06 · ⚛️ physics.class-ph

Circular orbits of a ball on a rotating conical turntable

classification ⚛️ physics.class-ph
keywords ballanalyzedaxiscircularconcernedconeconicaldynamically
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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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