Coupled Oscillators and Their Modes Of Vibrations

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Description
Two simple pendulums connected with a spring forms the simplest example of coupled oscillator. The behaviour of such a system is extremely complicated as shown. The analysis of their motion is done in their normal mode, that is when they have same frequency and either in phase or completely out of phase.The displacement equation is written as the superposition of two normal modes. The solution is discussed using initial conditions.A system of two pendulums shows how by changing the coupling the mode of vibration change.The results are then extended to a general system of three oscillators.The motion is shown using three small cars moving on an air track for a number of modes of vibration.


Prof. Walter Lewin, 8.03 Physics III: Vibrations and Waves, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed July 4, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc

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