Vibrations and Waves in PhysicsCambridge University Press, 1993 M07 30 - 359 páginas For the third edition of this successful undergraduate text, the author has made a number of changes to improve the presentation and clarify some of the arguments, and has also brought several of the applications up to date. The new material includes an elementary, descriptive introduction to the ideas behind the new science of chaos. The overall objectives of the book are unchanged: to lead the student to a thorough understanding of the basic concepts of vibrations and waves, to show how these concepts unify a wide variety of familiar physics, and to open doors to advanced topics which they illuminate. Each section of the book contains a brief summary of its salient contents. There are approximately 180 problems to which all numerical answers are provided, together with hints for their solution. This book is designed both for use as a text for an initial undergraduate course on vibrations and waves, and for a reference at later stages when more advanced topics or applications are met. |
Contenido
Free vibrations | 1 |
11 Harmonic motion | 2 |
12 Alternative mathematics for harmonic motion | 10 |
Problems | 14 |
Free vibrations in physics | 15 |
22 Acoustic vibrations | 18 |
23 Plasma vibrations | 21 |
24 Molecular vibrations | 24 |
95 Attenuation | 165 |
Problems | 170 |
Nondispersive waves in physics | 173 |
101 Longitudinal waves | 174 |
102 Acoustic waves | 177 |
103 Cable waves | 183 |
Problems | 190 |
Fourier theory | 192 |
25 Circuit oscillations | 29 |
Problems | 32 |
Damping | 34 |
31 Light damping | 35 |
32 Heavy damping | 39 |
33 Critical damping | 42 |
Problems | 43 |
Damping in physics | 45 |
42 Electromagnetic damping | 46 |
43 Collision damping | 49 |
44 Friction damping | 52 |
Problems | 54 |
Forced vibrations | 56 |
51 Steady states | 57 |
52 Superposition | 67 |
53 Transients | 72 |
Problems | 75 |
Forced vibrations in physics | 78 |
62 Scattering of light | 81 |
63 Dielectric susceptibility | 84 |
64 Absorption of microwaves by water | 86 |
Problems | 92 |
Anharmonic vibrations | 93 |
72 An asymmetric return force | 99 |
73 Forced vibrations of nonlinear systems | 104 |
Problems | 110 |
Twocoordinate vibrations | 112 |
82 Forced vibrations | 123 |
83 How to find the mode coordinates | 128 |
84 Coupled circuits | 135 |
Problems | 138 |
Nondispersive waves | 141 |
91 Travelling waves | 143 |
92 Reflection of travelling waves | 148 |
93 Standing waves | 156 |
94 Energy propagation | 161 |
111 Harmonic analysis | 193 |
112 Modulation | 202 |
113 Pulses and wave groups | 205 |
Problems | 211 |
Dispersion | 213 |
122 Lumpy strings | 221 |
123 Evanescent waves | 227 |
Problems | 234 |
Water waves | 236 |
132 The dispersion relation | 249 |
133 Examples of water waves | 252 |
Problems | 256 |
Electromagnetic waves | 258 |
141 Electromagnetic waves in a vacuum | 259 |
142 Electromagnetic waves in a dielectric | 265 |
143 Electromagnetic waves in a plasma | 270 |
Problems | 276 |
De Broglie waves | 278 |
151 Wave functions | 279 |
152 Physical implications | 282 |
Problems | 286 |
Solitary waves | 287 |
162 Nonlinear dispersion | 293 |
Problems | 297 |
Plane waves at boundaries | 299 |
172 Standing waves in an enclosure | 308 |
Problems | 318 |
Diffraction | 320 |
181 Features due to the arrangement of the diffraction centres | 321 |
182 Features due to the nature of the diffraction centres | 330 |
Problems | 339 |
Answers to problems and hints for solution | 343 |
Constants and units | 351 |
352 | |
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Términos y frases comunes
acoustic amplitude angle angular frequency antiphase approximately atoms attenuation axis beads behaviour boundary Broglie waves cable Calculate characteristic impedance circuit coefficients components curve cut-off density depends diffraction direction dispersion relation displacement disturbance driving force driving frequency eigenfunctions electric electromagnetic electrons equal equations of motion equilibrium position example factor forced vibration Fourier Fourier theory free vibration function given group velocity harmonic vibration increases kinetic energy length lightly damped longitudinal longitudinal waves mass maxima maximum mode coordinates mode frequencies molecule non-dispersive non-linear particle phase constant phase difference phase velocity physical plane wave plasma potential energy pressure problem propagation proportional pulse quantity reflected resonance frequency result return force Show shown in fig sinusoidal travelling wave slits space speed standing waves stiffness string superposition surface transverse vector voltage wave equation wave group wave travelling wavelength wavevector width zero