gnment. MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK MEXT Chapter 16,

Question

gnment. MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK MEXT Chapter 16, Problem 035 Two sinusoidal waves of the same frequency travel in the same direction along a string. If ymi 2.7 cm, rm2. 4.9 cm, ar o, and p2 n/2 rad, what is the amplitude of the resultant wave? Number Units the tolerance is +/-2% Click if you would like to show work for this question Qpen Show Work Question Attempts: o of 5 used SAVE FOR LATER SUBMIT ANSIVER Copyright o 2000-2017 by Gohn wiley & Sons, Inc. or reiated companies. All rights reserved. lts by study. LETE A1

Explanation / Answer

Given data:
Ym1 = 2.7cm
Ym2 = 4.9 cm
phi 1 = 0
phi2 = pi/2 rad

y1 = 2.7* sin
y2 = 4.9* sin ( + /3)

y1 + y2 = 2.7*sin + 4.9*sin ( + /3)
y1 + y2 = 2.7*sin + 4.9*sin * cos /3 + 4.9*cos * sin /3
y1 + y2 = 5.15 sin + 4.243 cos
Y1 + y2 is the maximum if 5.15* cos = 4.243*sin
or = 0.881 radian or 50.51 degrees

Maximum value of y1 +y2 is 5.15 sin 0.881+ 4.243 cos 0.881= 6.672 cm

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