B.Crowell - Vibrations and Waves, Vol
.3.pdf
Vibrations
and Waves
Benjamin Crowell
Book 3 in the Light and Matter series of introductory physics textbooks www.lightandmatter.com
Vibrations and Waves
The Light and Matter series of introductory physics textbooks:
1Newtonian Physics
2Conservation Laws
3Vibrations and Waves
4Electricity and Magnetism
5Optics
6The Modern Revolution in Physics
Vibrations and Waves
Benjamin Crowell
www.lightandmatter.com
Light and Matter
Fullerton, California
www.lightandmatter.com
© 1999-2002 by Benjamin Crowell All rights reserved.
Edition 2.1 rev. 2002-11-25
ISBN 0-9704670-3-6
To Diz and Bird.
Contents
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3 |
Free Waves |
39 |
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3.1 |
Wave Motion ........................................ |
40 |
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3.2 |
Waves on a String ............................... |
44 |
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3.3 |
Sound and Light Waves |
48 |
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3.4 |
Periodic Waves .................................... |
50 |
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Vibrations |
11 |
3.5 |
The Doppler Effect ............................... |
54 |
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Summary ...................................................... |
58 |
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1.1 |
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Period, Frequency, and Amplitude |
....... 12 |
Homework Problems .................................... |
59 |
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1.2 |
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Simple Harmonic Motion ..................... |
14 |
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1.3* |
Proofs ................................................. |
16 |
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Summary ...................................................... |
18 |
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Homework Problems .................................... |
19 |
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2 |
Resonance |
21 |
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2.1 |
Energy in Vibrations ............................ |
22 |
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2.2 |
Energy Lost From Vibrations ............... |
24 |
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2.3 |
Putting Energy Into Vibrations ............. |
26 |
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2.4* |
Proofs ................................................. |
33 |
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Summary ...................................................... |
36 |
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Homework Problems .................................... |
37 |
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4 |
Bounded Waves |
61 |
4.1 Reflection, Transmission, |
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and Absorption .................................... |
62 |
4.2* Quantitative Treatment of Reflection .. |
67 |
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4.3 |
Interference Effects ............................. |
70 |
4.4 Waves Bounded on Both Sides ........... |
72 |
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Summary ...................................................... |
77 |
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Homework Problems .................................... |
78 |
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Exercises |
79 |
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Glossary |
81 |
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Index |
83 |
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Photo Credits |
85 |
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Useful Data |
92 |
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Note: See Simple Nature (www.lightandmatter.com/ area1sn.html) for coverage of complex number techniques.
Contents 9
10 Contents