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Two pendulums have equal length L, but different masses mị and m2. The pen- dulums are coupled by a spring with spring constant K. The pendulums can only move in the plane of the figure. Find the frequencies of small oscillations around the equilibrium point. Use arrows on a picture like the one below to show the ap- proximate displacements corresponding to these modes. You do not need to find algebraic expressions for the displacements. Escape clause: if this problem is a little too hard, you will get partial credit for solving the special case mı = m2. L |L ml m2 k

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Two pendulums have equal length L, but different masses mị and m2. The pen-
dulums are coupled by a spring with spring constant K. The pendulums can only
move in the plane of the figure. Find the frequencies of small oscillations around
the equilibrium point. Use arrows on a picture like the one below to show the ap-
proximate displacements corresponding to these modes. You do not need to find
algebraic expressions for the displacements. Escape clause: if this problem is a little
too hard, you will get partial credit for solving the special case mı = m2.
L
|L
ml
m2
k

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