INDEX 



303 



[The numerals refer to the pages] 



Rectangular vessel, normal modes of 



a, 254 



Reed-pipes, theory of, 278 

 Reflection of waves, 64, 168, 215, 



267 



Refraction of sound, due to variation 

 of temperature, 216 



to wind, 219 



Resonance, 18, 20, 22, 32, 270 

 Resonator, 261 



free vibrations of a, 262 



forced vibrations of a, 270 

 Ring, normal modes of a, 133 



Scattering of sound waves by obstacles, 



240 



Sensations, analysis of, 2, 284 

 Shearing strain, 107 



stress, 109 



Shells, vibrations of curved, 155 

 ' Simple source' of sound, 214, 224 

 Simple-harmonic vibrations, 2, 9 



energy of, 15 



superposition of, 22, 48 

 Sine-series, 87 

 Sound, velocity of, in air, 161, 162 



in water, 163 

 Sound waves, plane, 160 



spherical, 20o, 224 



general, 204, 212, 214 



of finite amplitude, 174 

 Sounding board, function of, 68, 81 

 Source of sound, simple, 214, 224 



double, 215, 226 



'Speed' of a simple vibration, 10 

 Sphere, waves produced by oscillating, 

 228 



vibrations of an elastic, 156 

 Spherical vessel, normal modes of a, 



255, 258 



Stability, coefficients of, 43 

 Stationary property of normal modes, 



45 

 Stiffness of piano-wire, effect of, 82, 



133 



Strains, 106 

 Stresses, 108 



String, transverse vibrations of a, 59 



waves on a, 61, 64 



normal modes of a finite, 68 



forced vibrations of a, 80 

 String excited by plucking, 66, 72, 98 



by impact 73, 99 



by bowing, 75, 98 

 Superposition of vibrations, 22, 48 



Temperament, equal, 7 

 Temperature, effect of unequal, on 



propagation of sound, 216 

 Tension, effect of permanent, on the 



vibrations of a bar, 132 

 Tones, pure, 1 



interference of, 287 

 Transmission of sound by an aperture, 

 244 



by a grating, 247 

 Transverse vibrations, of strings, 59 



of bars, 120 



of membranes, 139 



of plates, 152 

 Tuning fork, 132 



Velocity of sound, 161, 162 



in a narrow pipe, 193 

 'Velocity-potential,' 201 

 Violin-string, 75, 98 

 Viscosity, 183 



effect of, on air- waves, 185, 186, 



190 



on waves in a narrow pipe, 193, 194, 

 196 



Water, velocity of sound in, 163 

 vibrations of a column of, 173 

 Watt's indicator diagram, 157 

 Waves, on a string, 61, 64 

 in a bar, 115, 123 

 in an elastic medium, 118. See 



also Sound waves 



Wind, influence of, on sound propa- 

 gation, 219 



Young's modulus, 111 



CAMBRIDGE : PRINTED BY JOHN CLAY, M.A. AT THE UNIVERSITY PRESS. 



