Reflection. A wave pulse on a string has the

Chapter 15, Problem 31E

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QUESTION:

Reflection. A wave pulse on a string has the dimensions shown in Fig. E15.30 at \(t=0\). The wave speed is \(5.0 \mathrm{~cm} / \mathrm{s}\).

(a) If point \(O\) is a fixed end, draw the total wave on the string at

\(t=1.0 \mathrm{~ms}, 2.0 \mathrm{~ms}, 3.0 \mathrm{~ms}, 4.0 \mathrm{~ms}, 5.0 \mathrm{~ms}, 6.0 \mathrm{~ms} \text {, and } 7.0 \mathrm{~ms}\)

(b) Repeat part (a) for the case in which point \(O\) is a free end.

Equation Transcription:

 

   

 

 

Text Transcription:

t=0

5.0 cm/s

O    

t=1.0 ms, 2.0 ms, 3.0 ms, 4.0 ms, 5.0 ms, 6.0 ms, and 7.0 ms  

O

v=5.0 m/s

2.0 cm

1.0 cm

5.0 mm

Questions & Answers

QUESTION:

Reflection. A wave pulse on a string has the dimensions shown in Fig. E15.30 at \(t=0\). The wave speed is \(5.0 \mathrm{~cm} / \mathrm{s}\).

(a) If point \(O\) is a fixed end, draw the total wave on the string at

\(t=1.0 \mathrm{~ms}, 2.0 \mathrm{~ms}, 3.0 \mathrm{~ms}, 4.0 \mathrm{~ms}, 5.0 \mathrm{~ms}, 6.0 \mathrm{~ms} \text {, and } 7.0 \mathrm{~ms}\)

(b) Repeat part (a) for the case in which point \(O\) is a free end.

Equation Transcription:

 

   

 

 

Text Transcription:

t=0

5.0 cm/s

O    

t=1.0 ms, 2.0 ms, 3.0 ms, 4.0 ms, 5.0 ms, 6.0 ms, and 7.0 ms  

O

v=5.0 m/s

2.0 cm

1.0 cm

5.0 mm

ANSWER:

Solution 31E

The wave speed is 5.0 m/s.

In 1.0 ms, the wave will travel  (whole wave in forward direction)

In 2.0 ms, the wave will travel (whole wave in forward direction)

In 3.0 ms, the wave will travel  ( 0.5 cm in reverse direction)

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