Two waves are travelling in opposite directions on the same string. The displacements caused by the individual waves are given by: y1=(24.0mm) Sin (1.25πx - 9.00πt) y2=(35.0mm) Sin (0.40πx + 2.88πt) Note that the phase angles are in radians, t is in seconds, and x is in meters. At t = 4.00 s, what is the net displacement (in mm) of the string at  (a) x = 2.16 m  (b) x = 2.56 m? Be sure to include the algebraic sign with your answers.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 18.9P: Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)]...
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Two waves are travelling in opposite directions on the same string. The displacements caused by the individual waves are given by:

y1=(24.0mm) Sin (1.25πx - 9.00πt)

y2=(35.0mm) Sin (0.40πx + 2.88πt)

Note that the phase angles are in radians, t is in seconds, and x is in meters. At t = 4.00 s, what is the net displacement (in mm) of the string at 

(a) x = 2.16 m 

(b) x = 2.56 m?

Be sure to include the algebraic sign with your answers.

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