Tag Archives: small oscillations

223-230 A. Aan and M. Heinloo
Composing and solving differential equations for small oscillations of mathematical spring-coupled pendulums
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Composing and solving differential equations for small oscillations of mathematical spring-coupled pendulums

A. Aan* and M. Heinloo

Institute of Technology, Estonian University of Life Sciences, Kreutzwaldi 56, EE51014 Tartu, Estonia; *Correspondence: aare.aan@emu.ee

Abstract:

This paper shows how to compose differential equations describing the oscillations of mathematical spring-coupled pendulums in a Mathcad worksheet. The composed differential equations are solved using both symbolic calculation features of Mathcad and Laplace transform. On the basis of the obtained solution, a video clip is made to demonstrate the motion of mathematical spring-coupled pendulums. The methods presented in this paper can be used for teaching engineering mathematics and mechanics.

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