Open AccessTheoretical study of the movement of a mobile object in different trajectories with a coupled pendulum
Author(s) -
Rodolfo da Silva Espíndola,
Gabriela del Valle,
Gerardo Hernández,
D. Muciño
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1723/1/012062
Subject(s) - pendulum , movement (music) , classical mechanics , object (grammar) , physics , oscillation (cell signaling) , double pendulum , motion (physics) , inverted pendulum , radius , plane (geometry) , furuta pendulum , geometry , mechanics , mathematics , computer science , acoustics , artificial intelligence , nonlinear system , quantum mechanics , computer security , biology , genetics
Coupled systems are studied within classical mechanics. In this work, using the formulations of classical mechanics, such as the Lagrange and Hamilton formulations, we analysed the system composed of an object of mass M in motion, to which a pendulum of length l and mass m is coupled. We studied the movement of the object when it moves in a single dimension (y direction) with pendulum oscillations: 1) in 2D ( zy -plane) and 2) 3D (surface xyz ). Subsequently, the movement of the object is studied when it moves in a circle of radius R with the same oscillation conditions referred to for the pendulum.