Sliding on the inside of a Conical Surface

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dc.creatorLopez-Ruiz, Ricardo
dc.creatorPacheco, Amalio F.
dc.date2002-04-11
dc.date.accessioned2026-07-07T06:36:12Z
dc.date.available2026-07-07T06:36:12Z
dc.descriptionWe analyze the frictionless motion of a point-like particle that slides under gravity on an inverted conical surface. This motion is studied for arbitrary initial conditions and a general relation, valid within 13%, between the periods of radial and angular oscillations, that holds for both small and high energy trajectories, is obtained. This relation allows us to identify the closed orbits of the system. The virtues of this model to illustrate pedagogically, how in a physical system, the energy is transferred between different modes, are also emphasized. Two easy identification criteria for this type of motion with potential interest in industrial design are obtained.
dc.description26 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/nlin/0204019
dc.identifierhttp://arxiv.org/abs/nlin/0204019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100011
dc.subjectChaotic Dynamics
dc.subjectClassical Physics
dc.titleSliding on the inside of a Conical Surface
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