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Circular orbits of a ball on a rotating conical turntable

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This paper is concerned with the problem of a dynamically symmetric heavy ball rolling without slipping on a cone which rotates uniformly about its symmetry axis. The equations of motion… Click to show full abstract

This paper is concerned with the problem of a dynamically symmetric heavy ball rolling without slipping 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.

Keywords: circular orbits; rotating conical; orbits ball; ball rotating; conical turntable

Journal Title: Acta Mechanica
Year Published: 2018

Link to full text (if available)


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