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By means of plotting find the amplitude of the oscillation resulting from the addition of the following

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By means of plotting find the amplitude of the oscillation resulting from the addition of the following three oscillations of the same direction: 

ℰ1 = a cos ωt, ℰ2 = 2a sin ωt, ℰ3 = 1.5a cos (ωt  + π/3).

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It is easier to do it analytically.

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