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Four simple harmonic motions, c(1)=8sino...

Four simple harmonic motions`, c_(1)=8sinomegat,x_(2)=6sin(omegat=pi//2) , x_(3)=4sin(omegat+pi) and x_(4)=2sin (omegat+3pi//2)` are superimposed on each other. The resuslting amplitude and its phase difference with `x_(1)` are respectively

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For simple harmonic vibrations y_(1)=8cos omegat y_(2)=4 cos (omegat+(pi)/(2)) y_(3)=2cos (omegat+pi) y_(4)=cos(omegat+(3pi)/(2)) are superimposed on one another. The resulting amplitude and phase are respectively