Answer to Question #160795 in Optics for James Woatsi

Question #160795

Determine the resultant displacement of the superposition of the following harmonic waves

y1 = 7sin(wt + π/3), y2 = 12cos(wt + π/4) and y3 = 20sin(wt + π/5)

Expert's answer

Answer

Resultant of y1 and y2

$y=y_1+y_3=26.5\sin(wt-18^°)$

Now resultant of y and y2

$R=y+y_2$

= $23.68\sin(wt+5^°)$

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