Lecture 7 - Solving the Coupled Oscillator Equation

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Uncoupling the equations; orthogonal transformation, rotation; Normal modes and eigenvectors, frequencies (squared) as eigenvalues. Intuition. Demonstrations: Coupled pendula; coupled air track gliders; Shive wave machine as coupled oscillatiors; two frequency generators beating Lecture 7 of Caltech's Ph2a Course on Vibrations and Waves by Prof. Frank Porter and Dr. Ashmeet Singh. View course materials on the course website http://waves.caltech.edu Produced in association with Caltech Academic Media Technologies under the Attribution-NonCommercial-NoDerivs Creative Commons License (CC BY-NC-ND). To learn more about this license, https://creativecommons.org/licenses/by-nc-nd/3.0/ This lecture was recorded on October 22, 2019, in 201 East Bridge (Feynman Lecture Hall) at Caltech, Pasadena, CA, USA. ©2020 California Institute of Technology

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