Develop a Lagrangian for the double pendulum. You may need to make some assumptions to simplify the problem. You may also need to introduce some new variables to make the problem work. Make sure that is explained.

Develop a Lagrangian for the double pendulum. You may need to make some assumptions to simplify the problem. You may also need to introduce some new variables to make the problem work. Make sure that is explained.

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Question

Expert Solution

Step 1: Assumptions

Let mass in double pendulum is m₁ and m₂.
Length of strings is l₁and l₂.
Let θ₁and θ₂ is the angular displacements for mass m₁ and m₂ respectively.

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