A standing wave on a string is described by the wave function y(x,t) = (6 mm) sin(4Ttx)cos(30tt). The wave functions of the two waves that interfere to produce this standing wave pattern are: y1(x,t) = (1.5 mm) sin(4ttx - 30nt) and y2(x,t) = (1.5 mm) sin(4Ttx + 30nt) %3D y1(x,t) = (2.5 mm) sin(4Ttx - 30tt) and y2(x,t) = (2.5 mm) sin(4Ttx + 30nt) %3D %3D y1(x,t) = (3 mm) sin(4Ttx - 30rt) and y2(x,t) = (3 mm) sin(4ttx + 30rt) y1(x,t) = (3 mm) sin(4Ttx - 30rt) and y2(x,t) %3D = (3 mm) sin(4Ttx - 30rt) y1(x,t) = (6 mm) sin(4Ttx - 30t) and y2(x,t) = (6 mm) sin(4rx + 30nt)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 22PQ
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A standing wave on a string is described by
the wave function y(x,t) = (6 mm)
sin(4Ttx)cos(30t). The wave functions of
the two waves that interfere to produce this
standing wave pattern are:
y1(x,t) = (1.5 mm) sin(4rtx - 30rt) and
y2(x,t) = (1.5 mm) sin(4ttx + 30nt)
y1(x,t) = (2.5 mm) sin(4tx - 30rtt) and
y2(x,t) = (2.5 mm) sin(4tx + 30nt)
y1(x,t) = (3 mm) sin(4rtx - 30nt) and y2(x,t)
= (3 mm) sin(4rtx + 30rt)
%3D
%3D
y1(x,t) = (3 mm) sin(4tx - 30nt) and y2(x,t)
= (3 mm) sin(4x - 30rt)
%3D
y1(x,t) = (6 mm) sin(4Ttx - 30nt) and y2(x,t)
= (6 mm) sin(4rtx + 30rt)
%3D
Transcribed Image Text:A standing wave on a string is described by the wave function y(x,t) = (6 mm) sin(4Ttx)cos(30t). The wave functions of the two waves that interfere to produce this standing wave pattern are: y1(x,t) = (1.5 mm) sin(4rtx - 30rt) and y2(x,t) = (1.5 mm) sin(4ttx + 30nt) y1(x,t) = (2.5 mm) sin(4tx - 30rtt) and y2(x,t) = (2.5 mm) sin(4tx + 30nt) y1(x,t) = (3 mm) sin(4rtx - 30nt) and y2(x,t) = (3 mm) sin(4rtx + 30rt) %3D %3D y1(x,t) = (3 mm) sin(4tx - 30nt) and y2(x,t) = (3 mm) sin(4x - 30rt) %3D y1(x,t) = (6 mm) sin(4Ttx - 30nt) and y2(x,t) = (6 mm) sin(4rtx + 30rt) %3D
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