1.9. For the production of the phenomenon of beats, the two collinear SHM must superpose on a medium
particle with angular frequencies wi and W2 such that
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This means that the superposition of two perpendicular harmonic motions with the same frequency and with a phase difference of gives a motion along an ellipse when their amplitudes are different. ... The trajectories obtained by the superposition of perpendicular simple harmonic motions are called Lissajous curves.
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