Modes Of Vibration Of Infinite Number Of Oscillators

Description
This is just an extension of previous discussions where the motion of a number of oscillators are considered and the analysis is then extended to infinite number of oscillators. To derive the equations of motion a transverse oscillation is considered for which mathematical steps are easier to deal with.The differential equation for a number of oscillators is applied to a system with two oscillators and all the normal modes are discussed.Next the ratios of amplitudes of different modes are also calculated.Computer simulated diagrams of all the modes are adds to the concept.

Prof. Walter Lewin, 8.03 Physics III: Vibrations and Waves, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed July 7 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc