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kaamos

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sources, one at each end. The sources both have the same frequency and

amplitude A, but are exactly 180 degrees out of phase with respect to one another.

(Each end is an antinode). What is the smallest normal mode frequency of the

string?

Solution: ω=π(T/LM)^(1/2)

Attempt: y1(x,t)=f(x)cosωt and y2(x,t)=f(x)cosωt

Then differentiating both of them w.r.t t and x. Am I even on the right track??