Coupling Two Pendulums

Why is it that the two pendulums must have equal masses if complete energy transfer is to take place, assuming the angular frequencies are commnesumerable.

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Why is it that the two pendulums must have equal masses if complete energy transfer is to take place, assuming the angular frequencies are commnesumerable.
I think that the problem is in the sets of differential equations you get, they are coupled, maybe assuming that m1=m2 you can get an uncoupled system easy to integrate. I may be wrong :(

i`ve did that calculus long ago----> see Landau Classical Mechanics i bet you'll find you're answer.

regards
marco