Elements of theoretical physics

Front Cover
Macmillan, 1897 - Science - 339 pages
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Contents

Constrained Motion
24
Keplers Laws
29
Universal Attraction
30
Universal Attraction continued
31
The Potential of a System of Masses
34
Examples Calculation of Potentials
36
Gausss Theorem The Equations of Laplace and Poisson
41
Examples of the Application of Laplaces and Poissons Equations
46
Action and Reaction On the Molecular and Atomic Structure of Bodies
48
The Centre of Gravity
50
SECTION PAGE XVIII A Material System
53
Moment of Momentum
55
The Energy of a System of Masses
56
Conditions of Equilibrium Rigid Bodies
58
Rotation of a Rigid Body The Pendulum
60
CHAPTER II
62
Components of Stress
64
Relations among the Components of Stress
67
The Principal Stresses
69
Faradays Views on the Nature of Forces Acting at a Distance
72
Deformation
74
Relations between Stresses and Deformations
79
Conditions of Equilibrium of an Elastic Body
82
Stresses in a Spherical Shell
83
Torsion
85
Flexure
87
Equations of Motion of an Elastic Body
89
Plane Waves in an Infinitely Extended Body
90
Other Wave Motions
93
Vibrating Strings
95
Potential Energy of an Elastic Body
96
CHAPTER III
99
Examples of the Equilibrium of Fluids
101
CHAPTER IV
103
Transformation of Eulers Equations
106
Vortex Motions and Currents in a Fluid
107
Steady Motion with VelocityPotential
109
Lagranges Equations of Motion
111
Wave Motions
112
CHAPTER V
115
Equations of Motion of a Viscous Fluid
118
Flow through a Tube of Circular Cross Section
119
CHAPTER VI
121
Conditions of Equilibrium
123
Capillary Tubes
125
CHAPTER VII
127
Electrical Potential
128
The Distribution of Electricity on a Good Conductor 130
130
The Distribution of Electricity on a Sphere and on an Ellipsoid
132
Electrical Distribution
135
Complete Distribution
139
Mechanical Force Acting on a Charged Body
141
Lines of Electrical Force
143
Electrical Energy
145
A System of Conductors
147
Mechanical Forces 150
150
The Condenser and Electrometer
151
The Dielectric
155
SECTION PAGE LXVI Conditions of Equilibrium
157
Mechanical Force and Electrical Energy in the Dielectric
158
Magnetic Induction
179
Magnetic Shells
180
CHAPTER IX
184
Systems of Currents
186
The Fundamental Equations of ElectroMagnetism
188
Systems of Currents in General
190
The Action of Electrical Currents on each other
192
The Measurement of CurrentStrength on the Quantity of Electricity
194
Ohms Law and Joules Law
197
CHAPTER X
199
Coefficients of Induction
202
Measurement of Resistance
205
Fundamental Equations of Induction
208
ElectroKinetic Energy
210
Absolute Units
211
ELECTRICAL OSCILLATIONS SECTION PAGE XCI Oscillations in a Conductor
215
Calculation of the Period
217
The Fundamental Equations for Electrical Insulators or Dielectrics
219
Plane Waves in the Dielectric
221
The Hertzian Oscillations
223
XOVI Poyntings Theorem
224
CHAPTER XII
229
Fresnels Formulas
231
The ElectroMagnetic Theory of Light
235
Equations of the ElectroMagnetic Theory of Light
237
Refraction in a Plate
242
Double Refraction
246
CHI Discussion of the Velocities of Propagation
249
The Wave Surface
251
The Wave Surface continued
254
The Direction of the Bays
256
Uniaxial Crystals
259
Double Refraction at the Surface of a Crystal
261
Double Refraction in Uniaxial Crystals
264
CHAPTER XIII
266
Ideal Gases
270
Cyclic Processes
272
Carnots and Clausius Theorem
274
Application of the Second Law
279
sECTION PAGE CXV The Differential Coefficients
280
Liquids and Solids
281
The Development of Heat by Change of Length
282
Van der Waals Equation of State
283
Saturated Vapours
290
The Entropy
292
Dissociation
295
CHAPTER XIV
298
Steady State
300
The Periodic Flow of Heat in a given Direction
301
A Heated Surface
303
The Flow of Heat from a Point
304
The Flow of Heat in an Infinitely Extended Body
305
The Formation of Ice
307
The Flow of Heat in a Plate whose Surface is kept at a Constant Temperature
308
The Development of Functions in Series of Sines and Cosines
312
The Application of Fouriers Theorem to the Conduction of Heat
315
The Cooling of a Sphere
318
The Motion of Heat in an Infinitely Long Cylinder
322
On the Conduction of Heat in Fluids
325
The Influence of the Conduction of Heat on the In tensity and Velocity of Sound in Gases
330

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