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Posted: **Tue May 17, 2022 9:06 pm**

: Problem 4 40 Points Consider The Double Pendulum Below With Masses Mi And M2 And Rod Lengths Li And L2 Respectively 1 (20.56 KiB) Viewed 38 times

: Problem 4 40 Points Consider The Double Pendulum Below With Masses Mi And M2 And Rod Lengths Li And L2 Respectively 2 (9.97 KiB) Viewed 38 times

Problem 4 (40 points): Consider the double pendulum below, with masses mi and m2 and rod lengths li and l2, respectively. (a) Find the Lagrangian of the system (10 points). (b) Find the equations of motion for angles 0, and 02 (10 points). (c) Consider small oscillations and find the frequencies and amplitude of the two normal modes (20 points).

11 mi 12 m2