Sliding on the inside of a conical surface [footnote id"1" pos"info_bottom"] The authors dedicate this paper to Professor J M Savirón of the University of Zaragoza in memoriam. [/footnote]

Authors: López-Ruiz R.¹; Pacheco A.F.²

Source: European Journal of Physics, Volume 23, Number 5, 2002 , pp. 579-589(11)

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Abstract:

We analyse 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 between the periods of the radial and angular oscillations, which holds for both small and high-energy trajectories, is obtained. This relation allows us to identify the closed orbits of the system. We emphasize the virtues of this model to illustrate pedagogically how in a physical system, energy is transferred between different modes.

Language: English

Document Type: Miscellaneous

Affiliations: 1: DIIS, Área de Ciencias de la Computación, Faculty of Sciences, University of Zaragoza, 50009 Zaragoza, Spain 2: Departamento de Física Teórica, Faculty of Sciences, University of Zaragoza, 50009 Zaragoza, Spain

Publication date: 2002-01-01