Question
1. Consider two pendulums, 1 and 2, with the same string length L, but with
different bob masses m1 and m2. They are coupled by a spring of spring
constant k, which is attached to the bobs. Find their equations of motion, for
small oscillations, solve for the modes and find their frequencies and
configurations.
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Transcribed Image Text

1. Consider two pendulums, 1 and 2, with the same string length L, but with different bob masses m1 and m2. They are coupled by a spring of spring constant k, which is attached to the bobs. Find their equations of motion, for small oscillations, solve for the modes and find their frequencies and configurations.

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