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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 17:44 |
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Conference: Bucharest University Faculty of Physics 2023 Meeting
Section: Physics Education
Title:
Euler’s laws and Lagrange’s equations for a particle sliding inside a cylinder
Authors:
Andrei-Cristian OPINCĂ(1), Diana-Ștefania CATANĂ(1), Tiberius O.CHECHE(1)
Affiliation:
1) University of Bucharest, Faculty of Physics, P.O.Box MG-11, RO-077125, Bucharest – Măgurele, Romania
E-mail
tiberius.cheche@unibuc.ro
Keywords:
Euler’s laws, Lagrange’s equations, relative rotation motion
Abstract:
Euler’s laws and Lagrange’s equations are applied to simulate the relative motion of a particle sliding inside a cylinder placed on a horizontal surface. The motion is described from the simplest to the most complex case as a function of the friction coefficients between the in-contact surfaces. Differential equations and their solutions for the rotation and translation motion of the particle-cylinder system are provided.
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