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Slater J.C., Frank N.H. Ч Mechanics
Slater J.C., Frank N.H. Ч Mechanics

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Ќазвание: Mechanics

јвторы: Slater J.C., Frank N.H.

јннотаци€:

The study of mechanics is presented as the fundamental basis of the electromagnetic theory, quantum mechanics, and all theoretical physics. Mathematical difficulty and order of historical development have determined the order of presenting the material.


язык: en

–убрика: ћеханика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1983

 оличество страниц: 297

ƒобавлена в каталог: 14.11.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Admittance      31 33
Alpha particle, scattering of      65
Angles, EulerТs      104 107Ч120
angular momentum      56 73
Angular momentum of rotating rigid body      92Ч120
Angular rotation, lack of vector character of      102Ч104
Anharmonic oscillator      40 42
Approximate solution for nonuniform string      183Ч186
ArchimedesТ Principle      230 236
Aristotle      1
Artificial electric line, analogy to weighted string      151 178
Associated Legendre polynomials, or associated spherical harmonics      205
AtwoodТs machine      86
Axis of rotation, instantaneous      95Ч96
Beats      35 168
Bent beam      222
BernoulliТs equation      232Ч233
BesselТs equation and function      181 200Ч204 240Ч241 251Ч252 288 289
Body forces in hydrodynamics      230
Body forces, in elasticity      206
Boundary conditions, for circular membrane      200Ч204
Boundary conditions, for rectangular membrane      197
Boundary conditions, for string      148 175 185Ч186
Center of mass      91
Central field, motion in      52Ч68
Centrifugal force      57
Circular membrane      199Ч204
Coefficients, of Fourier series      150 279 284
Coefficients, of viscosity      233
Combination tones      42
Complex exponentials and complex, numbers      26 255Ч257
Compressibility of elastic solid      214
Conductance      31
Conservation of energy      13Ч16 46Ч52 77
Conservative system, condition for      13 46Ч52
Constraints      70 79
Continuity, equation of      226Ч227
Continuous medium      206Ч237
Convergence, of Fourier series      281
Convergence, of power series      244Ч250
Coordinates, curvilinear, vector operations in      285Ч287
Copernicus      1
Coriolis force      56
CoulombТs law      53Ч54
Coupled systems      122Ч140
Curl, in curvilinear coordinates      286
Curl, of a vector      148 231Ч232 266
Curvilinear coordinates      285Ч287
Damping of vibrating string      160Ч161
Damping, critical      25
Damping, logarithmic      27
Decrement, logarithmic      27 29
Deformation of elastic solid      211Ч215
Degeneracy, in circular membrane      202
Degeneracy, in coupled oscillators      135Ч136
Degeneracy, in square membrane      204
Degrees of freedom      70
Determinant      127 275
Difference equations      239Ч242
Differential analyzer      8 294
Differential equations, general properties of      6
Differential equations, linear, properties of      7 24 33 34
Differential equations, numerical solution of      8 239Ч242
Direction cosines      259
Discontinuities in functions, Fourier representation of      281
dispersion      23 167Ч169
Divergence of a vector      226Ч227
Divergence theorem      267Ч269
Divergence, in curvilinear coordinates      286
Double Fourier series      199
Double pendulum      141
Eccentricity of conic section      58
Elastic constants      213Ч223
Elastic solid      206Ч223
Elastic waves      217Ч222
Electric circuit      4 27Ч29
Electric circuit, oscillations of      27Ч29
Electromagnetic theory      2 6 15 22Ч23
ellipse      58Ч62
Ellipsoid, energy      132Ч133
Energy      7 9Ч16 38Ч40 46Ч52 57 62Ч66
Equation, in normal coordinates      160
Equation, mechanical, generalized coordinates      69Ч79
Equation, of continuity      226 227
Equation, of fluid, ideal      229Ч233
Equation, of membrane      195Ч196
Equation, of motion of elastic solid      217Ч219
Equation, of rigid body      90Ч95 105 109Ч112
Equation, of string      146
Equation, variable      181
Equation, viscous      233Ч235
Equations, difference      239Ч242
Equilibrium, stable      13
Equinoxes, precession of      120Ч121
Equipotential surfaces      50Ч51
EulerТs angles      104 107Ч120
EulerТs equations for rigid body      105 111
EulerТs equations of hydrodynamics      229Ч233
Even functions      282Ч283
Expansion in normal functions for variable string      186Ч188
Expansion, Fourier      21 144 150 279 284
Exponential solution of vibrating particle      25Ч36
Exponential solution of vibrating rectangular membrane      196Ч198
Exponential solution of vibrating string      147Ч149
Exponential string      182Ч183
Exponential, complex      255Ч257
External forces generalized coordinates of      71Ч77
External forces on coupled oscillators      137Ч140
Falling body      7 10Ч11
Field, central      52Ч68
Filter, weighted string as      170
Flow of fluids      224Ч236
Flow, lines of      224Ч229
Fluids, flow of      224Ч236
Flux      225Ч229
Force, external      (see External forces)
Force, generalized      73
Forced vibrations, of coupled oscillators      137Ч140
Forced vibrations, of particle      21 29Ч38
Forced vibrations, of string      161
Fourier series      21 144 150 279Ч284
Fourier series, double      199
Function space      159 189
Functions, odd and even      282Ч283
Functions, power-series representation of      243 254
Galileo      1
GaussТs theorem      267Ч269
Generalized coordinates, equations of motion in      70Ч88
Generalized coordinates, vector operations in      285Ч287
Generalized force      73
Generalized force in vibrating string problem      160
Generalized momentum      71Ч78
Geophysical problems with elastic waves      219Ч220
Gradient, in curvilinear coordinates      285
Gradient, of a scalar      48 265Ч266
Gravitational constant      53
Group velocity      168Ч169
Half width of resonance band      32
Hamiltonian function      174Ч179
HamiltonТs equations of motion      74Ч79
Harmonics      149Ч162 165
HookeТs law      21 24 211Ч223
HookeТs law, modified for viscous fluids      233Ч234
Huygens      1
Hydrostatic pressure      208 230
Hyperbola      58Ч62
Ideal fluid      229 233
Impedance      31
Inertia, moment and products of      96Ч97
Infinite series      243Ч254
Initial conditions, for circular membrane      202Ч204
Initial conditions, for rectangular membrane      198Ч199
Initial conditions, for string      149 150
Initial conditions, for transient vibrations of particle      25Ч27
Instantaneous axis      95
Integral, line      46 49 269
Inverse-square law      58Ч66
Irrotational flow      228Ч229 232Ч233
KeplerТs laws      1 60Ч61
kinetic energy      9Ч16 71Ч75 126
Kinetic energy of rigid bodies      97 101
Lagrange, hydrodynamic equation of      231Ч232
LagrangeТs equations      69Ч88
LagrangeТs equations for coupled particles      133Ч134
LagrangeТs equations for rotating body      109Ч120
LagrangeТs equations for weighted string      160
Lagrangian function      74
Lagrangian function with magnetic field      87
Lagrangian function with relativity      88
LaplaceТs equation, for velocity potential      229 232
Laplacian      195 266Ч267
Laplacian in curvilinear coordinates      286
Larmor precession      121
Legendre polynomials, associated      205
LegendreТs equation      205
Line integrals      46Ч49 269
Linear differential equation, properties of      24 33 34
Linear restoring force      21Ч42
Lines of flow      224Ч229
Lines of force      50
Liquids, flow of      224Ч236
Lissajous figures      137
Longitudinal waves in elastic solid      219
Membrane, vibrations of      193Ч205
Moment of inertia      56 96Ч97
Momentum of jet      5
Momentum, angular      56 73
Momentum, generalized      71Ч78
Motion in several dimensions      43Ч68
Motion of rigid bodies      89Ч121
Motion of several particles      90Ч94 122Ч142
Motion, NewtonТs law of      2 4 44 69 71Ч73 92 218
Neumann functions      201 252 288Ч289
Newton      1 (see also Motion)
Nodal line, EulerТs angles      108
Nodes in vibrating membrane      202
Nonconservative systems      46
Nonuniform string      180Ч192
Normal coordinates      122Ч140 156Ч161
Normal functions for vibrating string      149Ч162
Normal modes      127Ч140 149Ч162 185- 188
Normal stresses      208 296
Normalization, of coupled systems      129Ч130
Normalization, of nonuniform string      187
Normalization, of weighted string      157
Numerical integration      8 239Ч242
Nutation      86 120
Odd functions      282Ч283
Orbits, central motion of      58Ч66
Orthogonality      262Ч264 275Ч276
Orthogonality of Bessel's functions      204
Orthogonality of coupled systems      129Ч130
Orthogonality of nonuniform string      186Ч187
Orthogonality of sine and cosine      144 150 159
Orthogonality of weighted string      157
Oscillations, of electric circuit      23Ч24 30Ч31
Oscillations, simple harmonic      21Ч24
Oscillator, anharmonic      40 42
Oscillator, coupled      122Ч140
Oscillator, linear      21Ч42
Oscillator, nonlinear      40 42
Overtone      149Ч162 185Ч188
Pendulum, spherical      79Ч86
Perturbation theory of nonuniform string      188Ч190
Plane waves, elastic      218Ч221
Planetary motion      58Ч66
PoiseuilleТs law      233Ч235
PoissonТs ratio      216 222
Pole of function      245
Polynomials, LegendreТs      205
potential energy      9Ч16 62Ч66
Potential, velocity      228Ч229
Power series      8 243Ч255
Power-series solution for differential equations      243Ч254
Precession      112Ч120
Pressure, in elasticity      208
Pressure, in hydrodynamics      230
Principal axes, of coupled systems      130
Principal axes, of inertia      98Ч105
Principal axes, of stress      209Ч211
Products, of inertia      97
Products, of vectors      259Ч261
Progressive waves      163Ч170
q      27Ч38 139 176
Quantum theory      3 23 64Ч65 77 278
Radial motion in central field      57 62 64
Reactance      31
Rectangular membrane      196Ч199
Reflection, of elastic waves      219Ч220
Reflection, of waves on strings      170Ч177
Relativity, theory of      5 19
Resistance      31
Resonance      22 29Ч38 138Ч139 176
Rest mass      5
Rigid bodies      89Ч121
Rolling-ball analogy      13
Rotating system of axes, vector in      95
Rotation of coordinates      261Ч264 277
Rumford      14
Rutherford      65
Scalar product      260
Secular equation, for coupled oscillators      128 152
Secular equation, for perturbation theory      189Ч190
Separation of variables, method of      147 194Ч202
Series, Fourier      21 144 150 279Ч284
Series, power      8 243Ч255
Several particles, general problem of motion of      90Ч94 122Ч142
Shearing stress and strain      208Ч211
Simple harmonic vibrations      21Ч42
Singularity of function      245
Solids, elastic      206Ч223
Sources and sinks      226Ч227
Spherical harmonics      205
Spherical pendulum      79Ч86
Square membrane, degeneracy of      204
Stable equilibrium      13
standing waves      149 170Ч177
Statistical mechanics      78
Steady flow of fluids      227
StokesТs theorem      48 269Ч271
Strains in elastic solid      211Ч223
Streamlines      226Ч229
Stresses in elastic solid      206Ч223
String, vibrations of      143 192
Sturm Ч Liouville equation      188
Superposition of transient and forced motion      33Ч38
Surface forces      206Ч223
Susceptance      31
Symmetrical top      107Ч120
Symmetry of stress tensor      210
TaylorТs      243Ч252
Tensors      96Ч97 207Ч223 272-278
Top, precession of      115Ч120
torque      56 73 98
Torque, due to shearing stress      210
Torque-free motion of symmetrical rigid body      112Ч115
Transients      21 33Ч38
Transients, initial conditions for      34 35
Transverse waves in elastic solid      219
Traveling waves      148
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