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2015-Peter_Cumber-Waggling pendulums and visualization in mechanics

Author(s): Peter Cumber

NA

Keywords: resonance inverted pendulum mechanics damped pendulum

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Abstract

Resource Image This article describes an equation of motion for a waggling pendulum.

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Qualitative Analysis
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Cumber. Peter S. 2015. Waggling pendulums and visualization in mechanics. International Journal of Mathematical Education in Science and Technology. 46(4):  611-630.

See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2014.987838 . Accessed 29 March 2023.

Abstract:  Students often find mechanics a difficult area to grasp. This article describes an equation of motion for a waggling pendulum. A wide range of pendulum dynamics can be simulated with this model. The equation of motion is embedded in a graphical user interface for its numerical solution in MATLAB. This allows a student’s focus to be on the influence of different parameters on the pendulums dynamics. The simulation tool can be used as a dynamics demonstrator in a lecture or as an educational tool driven by the imagination of the student. By way of demonstration, the simulation tool has been applied to different damped pendulums including an inverted pendulum. The model has also been used to simulate resonance and has shown that there is a wide range of behaviours possible depending on the type of forcing applied

Keywords: mechanics,  resonance, damped pendulums, inverted pendulums

 

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Author(s): Peter Cumber

NA

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