Equations for the graph y1 = sin⁡(πx − 2πt)   and    y2 = sin((πx/2) + 2πt) Which of the graphs to the left correspond to each of the two initial waves you were given? You may find it helpful to plot these graphs on your own. If you do it by hand, you will gain even more insight. a. The graph that corresponds to y2 is b. The graph that corresponds to the superstition of y1 and y2 is c. The graph that corresponds to y1 is Based on the graph you made for the superposition of y1 and y2, would you consider the superposition to be simple harmonic oscillation? Why or why not. a. Yes. It keeps returning to the equilibrium position. b. No. It is not a simple sine or cosine curve. c. No. Waves and simple harmonic oscillation are two unrelated phenomena. d. Yes. The pattern clearly repeats regularly

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Equations for the graph

y1 = sin⁡(πx − 2πt)   and    y2 = sin((πx/2) + 2πt)

Which of the graphs to the left correspond to each of the two initial waves you were given? You may find it helpful to plot these graphs on your own. If you do it by hand, you will gain even more insight.

a. The graph that corresponds to y2 is

b. The graph that corresponds to the superstition of y1 and y2 is

c. The graph that corresponds to y1 is

Based on the graph you made for the superposition of y1 and y2, would you consider the superposition to be simple harmonic oscillation? Why or why not.

a. Yes. It keeps returning to the equilibrium position.

b. No. It is not a simple sine or cosine curve.

c. No. Waves and simple harmonic oscillation are two unrelated phenomena.

d. Yes. The pattern clearly repeats regularly

 

For simplicity, from here on, we will remove the time-dependent behavior from
our consideration by setting t = 0. Thus the following plots are only of y vs. x.
Below are several graphs. Questions 3 and 4 will reference these graphs.
Plot A
3
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ü
www
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> 0
-0.2
-0.4
-0.6
-0.8
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X
Plot B
X
7
8
8
Transcribed Image Text:For simplicity, from here on, we will remove the time-dependent behavior from our consideration by setting t = 0. Thus the following plots are only of y vs. x. Below are several graphs. Questions 3 and 4 will reference these graphs. Plot A 3 4 5 6 ü www V B 4 1.5 1 0.5 0 -0.5 -1 -1.5 1 0.8 0.6 0.4 0.2 > 0 -0.2 -0.4 -0.6 -0.8 -1 0 0 1 2 2 X Plot B X 7 8 8
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wwwm
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Plot C
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Plot D
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Plot E
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Transcribed Image Text:1.5 1 0.5 0 1.5 1 0.5 wwwm 0 0 -0.5 -1 -0.5 -1 -1.5 2 1.5 1 0.5 0 -0.5 -1 -1.5 0 -2 1 0 1 3 2 A Plot C 3 14 X Plot D 1 wwww 0.5 7 0 -0.5 14 X Plot E 2 5 6 -1.5 -2 1.5 -1 -1.5 1 0 Plot D 2 1 3 X 3 Plot E 5 X 6 7 7 8
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