Answer to Question #160795 in Optics for James Woatsi

Question

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)

Answer 1

Answer

Resultant of y1 and y2

$y=y_1+y_3=26.5\sin(wt-18^°)$

Now resultant of y and y2

$R=y+y_2$

=$23.68\sin(wt+5^°)$