Two pendula of equal length b and equal masses m connected


Two pendula of equal length b and equal masses m connected by a spring of force constant k. The spring is connected on its ends to each of the masses.

Write the Lagrangian for the system, and use it to derive the equations of motion of the system.

Lastly, for small oscillatory angles, find out the normal modes of the system and find out the freuqnecies of these normal modes.

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Physics: Two pendula of equal length b and equal masses m connected
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