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Two identical pendulums of length are coupled by means of a spring of natural length and spring constant . When the displacement angles and are small, the equations of motion are:
where
Here is the mass of the bendulum bob and is the acceleration due to gravity.
Find the frequencies of the normal modes of oscillation. Give a simple justification of the above equations (a full derivation is not requried).
I'm not sure about the normal modes of oscillation; I get and
What's the logic behind these equations? Widener (talk) 18:22, 27 May 2012 (UTC)