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Lagrange's Equation for a double pendulum

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A double pendulum consists of two simple pendula, with one pendulum suspended from the bob of the other. If the two pendula have equal lengths of rigid, massless, rod and bobs of equal mass and if both pendula are confined to move in the same plane find Lagrange's equation of motion for the system...Do NOT assume small angles.

Please include diagram and complete, clear explanation.

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The solution solves for Lagrange's equation for the motion of the system of a double pendulum. The solution includes a diagram and a clear explanation.

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