Motion of a Ball Rolling on a Rotating Disc

• Autorzy: De Izarra, C. , Chapelle, J. , Vallée, O. , An, V.
• Języki publikacji: EN

Abstrakty

EN

This paper is a more academic approach of a work published in 1986 by J.M. Levy-Leblond that studies the surprising motion of a ball rolling on a planar surface and arriving on a rotating disc. The observation shows that the ball rolls on the planar surface with a velocity vector in an initial direction, then crosses the rotating disc along a curved trajectory, and finally leaves the rotating plate without changing its initial direction and velocity. The application of the fundamental laws of classical mechanics in a König frame linked to the mass centre of the ball allow to show that the curved trajectory is circular, with a constant velocity in modulus.

Słowa kluczowe

EN

dynamics and kinematics of rigid bodies; forces and torques

• Czasopismo: Machine Dynamics Research
• Rocznik: 2017
• Tom: Vol. 41, No. 1
• Strony: 31--44
• Opis fizyczny: Bibliogr. 7 poz., tab.

Twórcy

autor

De Izarra, C.

• UMR7344 Université d’Orléans - CNRS, INSA Centre Val de Loire, Campus de Bourges, Groupe de Recherche sur l’Énergetique des Milieux Ionisés,

autor

Chapelle, J.

• UMR7344 Université d’Orléans - CNRS, INSA Centre Val de Loire, Campus de Bourges, Groupe de Recherche sur l’Énergetique des Milieux Ionisés

autor

Vallée, O.

• UMR7344 Université d’Orléans - CNRS, INSA Centre Val de Loire, Campus de Bourges, Groupe de Recherche sur l’Énergetique des Milieux Ionisés

autor

An, V.

• National Research Tomsk Polytechnic University

Bibliografia

• 1. Gourinat, Y. and Chretien, J.-P. (2009). Formalismes de la dynamique rationnelle des systèmes mécaniques: de newton à kane. Techniques de l’ingénieur. Génie mécanique, (BM5226).
• 2. Lévy-Leblond, J.-M. (1986). The anais billiard table. European Journal of Physics, 7(4):252.
• 3. Romer, R. H. (1981). Motion of a sphere on a tilted turntable. American Journal of Physics, 49(10):985–986.
• 4. Sentemova, O. (2011). Multicomponent models of friction. Moscow University Mechanics Bulletin, 66(6):138–140.
• 5. Spiegel, M. (1982). Theory and Problems of Theoretical Mechanics. McGraw-Hill Book Company, SI (Metric) International edition.
• 6. Tort, A., Reis, A. P. M., and Santos, F. C. (1991). An equivalence principle for the anais billiards experiment. European Journal of Physics, 12(1).
• 7. Van de Vorst, A. (1991). Introduction à la physique: Mécanique. De Boeck.