Open AccessDynamics for an electric pendulum
Author(s) -
O. Aguilar–Loreto,
Antonio Muñoz,
and A. Jiménez Pérez
Publication year - 2019
Publication title -
revista mexicana de física e
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.178
H-Index - 10
eISSN - 2683-2216
pISSN - 1870-3542
DOI - 10.31349/revmexfise.65.213
Subject(s) - pendulum , double pendulum , inverted pendulum , classical mechanics , lagrangian , control theory (sociology) , kapitza's pendulum , stability (learning theory) , physics , simple (philosophy) , dynamics (music) , statistical physics , mathematics , computer science , theoretical physics , nonlinear system , control (management) , quantum mechanics , acoustics , artificial intelligence , philosophy , epistemology , machine learning
The Lagrangian formulation has been an extensive tool for the analysis of physical systems. In particular, we have applied the Lagrangian procedure to deduce the dynamics and stability for an electric pendulum system. We have considered two cases, a repulsive and attractive electric interactions as perturbations to the classical simple pendulum model. We study both cases, the repulsive and attractive electric interactions that can be considered as perturbations to the classical simple pendulum model. We have contrast both situations studying their restrictions, phase trajectories and stability points for this purpose.