Coupled oscillators (Normal-modes approach)

Abstract

Many important physics systems involved coupled os- cillators. A solid is a good example because it can be described in terms of coupled oscillations. The atoms oscillate around their equilibrium positions, and the in-teraction between the atoms is responsible for the coupling. The purpose of this study is to highlight and to explain, in a simple way, the dynamic interaction of two coupled oscillators based on normal-modes approach. In addition, at the end of the manuscript the equation of motion is derived based on energy method, and a link is provided to download and play a video in which the phenomenon of coupled oscillator is proven.