Vibrations and Waves

86 Pages·2000·1.979 MB·English

by  Crowell B.

Vibrations
and Waves
Benjamin Crowell
Book 3 in the Light and Matter series of introductory physics textbooks
www.lightandmatter.com

Vibrations and Waves
3
The Light and Matter series of
introductory physics textbooks:
1 Newtonian Physics
2 Conservation Laws
3 Vibrations and Waves
4 Electricity and Magnetism
5 Optics
6 The Modern Revolution in Physics
4
Vibrations and Waves
Benjamin Crowell
www.lightandmatter.com
5
Light and Matter
www.lightandmatter.com
© 1999 by Benjamin Crowell
All rights reserved.
Edition 2.0 — 2000
rev. 2000-08-13
6
To Diz and Bird.

Contents
1 Vibrations 11
1.1 Period, Frequency, and Amplitude....... 12
1.2 Simple Harmonic Motion ..................... 14
1.3* Proofs................................................. 16
Summary...................................................... 18
Homework Problems.................................... 19
3 Free Waves 39
3.1 Wave Motion........................................ 40
3.2 Waves on a String ............................... 44
3.3 Sound and Light Waves ...................... 48
3.4 Periodic Waves.................................... 50
3.5 The Doppler Effect............................... 54
Summary...................................................... 58
Homework Problems.................................... 59
2 Resonance 21
2.1 Energy in Vibrations ............................ 22
2.2 Energy Lost From Vibrations............... 24
2.3 Putting Energy Into Vibrations............. 26
2.4* Proofs................................................. 33
Summary...................................................... 36
Homework Problems.................................... 37
4 Bounded Waves 61
4.1 Reflection, Transmission,
and Absorption.................................... 62
4.2* Quantitative Treatment of Reflection.. 67
4.3 Interference Effects ............................. 70
4.4 Waves Bounded on Both Sides........... 72
Summary...................................................... 77
Homework Problems.................................... 78
Glossary 79
Index 81
Photo Credits 83
Useful Data 86
Contents 9
10 Contents