Two sinusoidal waves in a string are defined by the
y1 " (2.00 cm) sin(20.0x # 32.0t)
y2 " (2.00 cm) sin(25.0x # 40.0t)
where y1, y2, and x are in centimeters and t is in seconds.
(a) What is the phase difference between these two waves
at the point x " 5.00 cm at t " 2.00 s?
(b) What is the positive
x value closest to the origin for which the two phases
differ by (& at t " 2.00 s? (This is where the two waves
add to zero.)
The Attempt at a Solution
My teacher went over this problem and gave us this answer...
-5x+16= +3.14 -> X=2.57cm -> choose this answer because it is closest to the origin
-5x+16= -3.14 -> X=3.83cm
book answer is X=.0584
He mentioned why it was different, but I could not understand what he said... he mumbles a lot... lol.