Two waves are traveling in opposite directions on the same string. The displacem

Question

Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(22.0 mm)sin(6.38t - 1.72x) and y2=(39.0 mm)sin(2.85t + 0.589x). Note that the phase angles (6.38t - 1.72x) and (2.85t + 0.589x) are in radians, t is in seconds, and x is in meters. At t = 2.20 s, what is the net displacement (in mm) of the string at (a) x = 2.33 m and (b) x = 2.58 m? Be sure to include the algebraic sign (+ or -) with your answers.

I tried filling in the variables with what is given us then making them equal to each other. I was told i was wrong.

Explanation / Answer

(a) y1=22 sin(6.38*pi*2.20-1.72*pi*2.33)=11.48
y2=39sin(2.85*pi*2.20-0.589*pi*2.33)=10.33

(b) y1=22 sin(6.38*pi*2.20-1.72*pi*2.58)=-11.04
y2=39sin(2.85*pi*2.20-0.589*pi*2.58)=10.02

calculation may be wrong but concept is right

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