Gliding motions of a rigid body: the curious dynamics of Littlewood's rolling hoop

DOI10.1098/rspa.2019.0440zbMath1472.70015OpenAlexW2984907497WikidataQ126824961 ScholiaQ126824961MaRDI QIDQ5160807

Oliver M. O'Reilly, Antonia Bronars

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/58n8m4vj

zbMATH Keywords

differential equationsmechanicsmathematical physicsrolling rigid bodiesself-induced jumpingstick-slip phenomena

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18)

Related Items (3)

Dynamics of a rolling egg ⋮ New feature in hoop dynamics: hidden jump ⋮ Jump effect of an eccentric cylinder rolling on an inclined plane

Cites Work

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• On the dynamics of the eye: geodesics on a configuration manifold, motions of the gaze direction and Helmholtz's theorem
• Hopping Hoops Don't Hop
• The Hopping Hoop Revisited
• Can a spinning egg really jump?
• The Hopping Hoop
• Engineering Dynamics
• Dynamics of an axisymmetric body spinning on a horizontal surface. II. Self-induced jumping

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