Answered: Equations for the graph y1 = sin⁡(πx −…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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
4
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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
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X
Plot B
X
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8

1.5
1
0.5
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wwwm
0
0
-0.5
-1
-0.5
-1
-1.5
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0
-0.5
-1
-1.5
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-2
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A
Plot C
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14
X
Plot D
1
wwww
0.5
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-0.5
14
X
Plot E
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-1.5
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1.5
-1
-1.5
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0
Plot D
2
1
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X
3
Plot E
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X
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7
7
8

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