Question
Asked Nov 11, 2019
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Two wave pulses travel on a string. The picture shows the displacement of the string y as a function of x at t = 0. The velocities of the wave pulses are shown.

1. At t = 2 s, what is the displacement of the string at the following values of x?

At x = 3.5 cm, y =  ______ cm
At x = 4.5 cm, y =  ______ cm
At x = 5.5 cm, y =  ______ cm

2. At t = 3 s, what is the displacement of the string at the following values of x?

At x = 3.5 cm, y =  ______ cm
At x = 4.5 cm, y =  ______ cm
At x = 5.5 cm, y =  ______ cm

у (ст)
2.5
2
1.5
1
1 ст/s
0.5
х (ст)
0
1
2
3
4
5
7
-0.5
-1
-1.5
1 ст/s
-2
-2.5
— о-
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Image Transcriptionclose

у (ст) 2.5 2 1.5 1 1 ст/s 0.5 х (ст) 0 1 2 3 4 5 7 -0.5 -1 -1.5 1 ст/s -2 -2.5 — о-

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Expert Answer

Step 1

Calculating the y direction displacement of the string at given values of x at t = 2 s:

A graph has been constructed with orange color on the same given graph, which represent the position of the string at t = 2 s. As the velocity of pulse is 1 cm/s in x direction, so the wave will shift to 2 cm towards x-axis after 2 seconds. As shown in figure:

Hence, from diagram, we can observe that the displacement of the wave:

At x = 3.5 cm is y = 2 cm

At x = 4.5 cm is y = 1 cm

At x = 5.5 cm is y = 0 cm

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Image Transcriptionclose

у (ст) 2.5 t 0s t 2 s 2 1.5 1 1 ст/s 0.5 x (ст) 0 1 2 4 5 7 -0.5 -1 -1.5 1 ст/s -2 2.5 st

fullscreen
Step 2

Calculating the y direction displacement of the string at given values of x at t = 3 s:

A graph has been constructed with orange color on the same given graph, which represent the position of the string at t = 3 s. As the velocity of pulse is 1 cm/s in x direction, ...

help_outline

Image Transcriptionclose

у (ст) 2.5 t 3 s t 0 s 2 1.5 1 1 ст/s 0.5 x (ст) 0 2 5 7 -0.5 -1 -1.5 1 ст/s -2 2.5 st

fullscreen

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