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A particle is simultaneously subjected to three simple harmonic motions, all of the same frequency and in thexdirection. If the amplitudes are 0.25, .20, and 0.15 mm, respectively, and the phase difference between the first and second is 45, and between the second and third is 30, find the amplitude of the resultant displacement and its phase relative to the first (0.25 mm amplitude) component.

I drew a diagram and of the vectors but the equations I have are all for two vectors systems. How do I start this problem off?

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# Two Superposed Vibrations of Equal Frequency

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