1. The combination of two traveling waves with different directions of motion. Two traveling waves with the equations y, = A sin(k,x-w,t) and y2 = A sin(k,x + w,t + phase difference ) are present in a medium. (a) Find the equation of the wave function resulting from the superposition of the two waves. Does it always produce a stationary wave? (b) In order to produce a stationary wave, what conditions must be met for both waves? (c) If the speed of the waves in the medium is 6 m/s, phase difference = 0, and each wave has the same wavelength, say 3 m, display (i) the superposed wave function, (ii) the curve of each -each wave and its superposition result at t = Os; t = 0.1 s; t = 0.25 s; t = 0.4 s; and t = 0.5 s. Note : phase different =

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1. The combination of two traveling waves
with different directions of motion. Two
traveling waves with the equations y, = A
sin(k,x-w,t) and y, = A sin(k,x + Wzt +
phase difference ) are present in a
medium. (a) Find the equation of the wave
function resulting from the superposition
of the two waves. Does it always produce
a stationary wave? (b) In order to produce
a stationary wave, what conditions must
be met for both waves? (c) If the speed of
the waves in the medium is 6 m/s, phase
difference = 0, and each wave has the
%3D
same wavelength, say 3 m, display (i) the
superposed wave function, (ii) the curve of
each -each wave and its superposition
result at t = Os; t = 0.1 s; t = 0.25 s; t = 0.4 s;
%3D
%3D
%3D
%3D
and t = 0.5 s.
Note : phase different =
Transcribed Image Text:1. The combination of two traveling waves with different directions of motion. Two traveling waves with the equations y, = A sin(k,x-w,t) and y, = A sin(k,x + Wzt + phase difference ) are present in a medium. (a) Find the equation of the wave function resulting from the superposition of the two waves. Does it always produce a stationary wave? (b) In order to produce a stationary wave, what conditions must be met for both waves? (c) If the speed of the waves in the medium is 6 m/s, phase difference = 0, and each wave has the %3D same wavelength, say 3 m, display (i) the superposed wave function, (ii) the curve of each -each wave and its superposition result at t = Os; t = 0.1 s; t = 0.25 s; t = 0.4 s; %3D %3D %3D %3D and t = 0.5 s. Note : phase different =
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