Experimental Verification of two Theoretical Solutions of the Pendulum for Large Angles in Frequency Domain for Teaching Support

Experimental Verification of two Theoretical Solutions of the Pendulum for Large Angles in Frequency Domain for Teaching Support

Technology-enhanced learning

Pendulum

frequency domain

exact solution

Fourier analysis

numerical methods

During pendulum analysis, the approximation for small angles is usually performed as a simple harmonic motion. However, for large angles, this approximation is not convenient so exact solutions are proposed by differ-ent methods. This paper presents the comparison of two solutions for the displacement of the pendulum in the domain of time and frequency, the solution by Jacobi elliptic function and the solution by the numerical method Dormand-Prince with the results of measurements obtained by means of a physical prototype designed for the teaching of physics. We consider that this comparative study allows a better understanding of the phenomenon of the non-linear pendulum in the students of undergraduate careers in the physics of waves as well as a previous training for the course of analysis of signals being in good exercise of teaching

Garcés-Gómez, Yeison Alberto

López Jimenez, Paula Andrea

Cárdenas Delgado, Oscar Oswaldo

Henao Cespedes, Vladimir

Toro García, Nicolás

International Journal of Interactive Mobile Technologies (iJIM); Vol. 14 No. 08 (2020); pp. 140-149

1865-7923

International Association of Online Engineering (IAOE), Vienna, Austria

2020-05-20

Copyright (c) 2020 Yeison Alberto Garcés-Gómez, Paula Andrea López Jimenez, Oscar Oswaldo Cárdenas Delgado, Vladimir Henao Cespedes, Nicolás Toro García

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eng

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

Peer-reviewed Article