Two particles are executing simple harmonic motion at an instant of time 't' their displacements are $$y1=acos(wt)$$ and $$y2=asin(wt)$$ . Then the phase difference between $$y1$$ and $$y2$$ is

Question

Two particles are executing simple harmonic motion at an instant of time 't' their displacements are  $$y1=acos(wt)$$ and $$y2=asin(wt)$$ . Then the phase difference between $$y1$$  and $$y2$$  is

Infinity Learn · Accepted Answer

$$y1=acos(wt)$$            $$=asinwt+$$π$$/2$$, here phase angle φ$$1=wt+$$π$$/2$$               $$y2=asin(wt)$$, here phase angle φ$$2=wt$$         phase difference $$=$$Δφ$$=$$φ$$1-$$φ$$2$$                                              Δφ$$=wt+$$π$$/2-wt=$$π$$2$$ radians                                             Δφ$$=90$$∘       (in$$ $$degrees)

Two particles are executing simple harmonic motion at an instant of time 't' their displacements are $y_{1} =acos(wt)$ and $y_{2} =asin(wt)$ . Then the phase difference between $y_{1}$ and $y_{2}$ is

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Two particles are executing simple harmonic motion at an instant of time 't' their displacements are y1=acos(wt) and y2=asin(wt) . Then the phase difference between y1 and y2 is

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Two particles are executing simple harmonic motion at an instant of time 't' their displacements are $y_{1} =acos(wt)$ and $y_{2} =asin(wt)$ . Then the phase difference between $y_{1}$ and $y_{2}$ is