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Arya A.P. — Introduction to Classical Mechanics |
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Предметный указатель |
Forces, time-dependent 31
Forces, velocity-dependent 35
Forces, viscous 35
Foucault pendulum 447 450
Four-vectors 683 684
Fourier series 110 112 620
Fourier theorem 111
Fracture point 369 370
Free angular frequency 72
Free natural frequency 63
Free oscillation system 63
Free oscillator 70
Frequencies of oscillator 65
Frequencies, angular 65
Frequencies, normal 582
Frequencies, selective in 99
Frequency spectrum 639
Frictional force 11
Frictional force, dissipative 81
Fundamental note 620
Fundamental units 2
Galilean invariance 672 673
Galilean transformations 672 673
Galileo 1
Gauss's law 414
Gauss's surface 414
Gauss's theorem 169
Gaussian system See "CGS system"
Generalized coordinates 464 578
Generalized forces 466
Generalized momenta 487
Generalized velocities 465
Geometrical approach 139 140
Geostrophic winds 454
Glancing collisions 312
grad 165
Gradient 164
Gradient operator 165 241
Gravitation 17
Gravitation field 391 393 394
Gravitation field, equations 417
Gravitation field, intensity 393
Gravitation field, vector 393
Gravitation, boost 281
Gravitation, breaking 281
Gravitation, Newton's universal law of 17 51 387
Gravitational force 17 387 389
Gravitational force, calculation of 399
Gravitational potential 387 391 393 394
Gravitational potential, calculation of 399
Gravitational potential, energy 51
Gravitational potential, lines 398
Green's function 115 117
Gyration, radius of 356
Gyroscope 552 555
Hamilton's equation of motion 495
Hamiltonian dynamics 463 495
Hamiltonian formulation of relativity 693
Hamiltonian function 489 492
Hard system 62 122
Harmonic force law, isotropic 254
Harmonic oscillators 58 65
Harmonic oscillators in electrical circuits 105
Harmonic oscillators in three dimensions 216 219
Harmonic oscillators in two and three dimensions 217
Harmonic oscillators, damped 58 70
Harmonic oscillators, forced 85
Harmonic oscillators, linear 62
Harmonics 620
Head-on collision 312
Heavily damped oscillator 74
Heavy top 552
Highest symmetry 575
Holonomic constraints 481
Holonomic system 464
Homogeneity of space 293
Homogeneity of time 293
homogeneous solution 88
Homogeneous space 489
Hooke's law 49 61 369
Horizontal wind circulations 453
Huygens 1
Hydrodynamics 648
Hydrostatics 648
Hyperbola 273
Hyperbolic trajectory 325
Ignorable coordinates 487
Impact parameter 260
Improper length 680
Improper time 680
Impulse-momentum theorem 30
Impulsive force 115
Incommensurable frequencies 224
Incommensurable periods 259
Inelastic collisions 309 314
Inelastic collisions in CMCS 324
Inertia ellipsoid 533
Inertia tensor 516
Inertia tensor, properties of 535
Inertia, products of 512 518
Inertial coordinate system 550
Inertial reference frame 427
Inertial systems 5 6 7 427
Inhomogeneous differential equation 86
Initial phase 65
Integrals of motion 246 489
Integration of vectors 161
Internal forces 296
International system of units 3
Invariance 427 489 672
Invariance, physical process 293
Invariance, quantities 176
Inverse transformation 319
Inverse-square field, orbit in 264
Inverse-square force, problem 266
Inverse-square force, repulsive 324
Ionosphere 31
Irrotational field 173
Isotropic harmonic force law 254
Isotropy of space 293
Iterative approximation 374
Jerk 231 458
Kater's pendulum 365
Kepler's laws 274 275
Kepler's laws, second law of planetary motion 248
Kepler's laws, third law 18 283
Kinematics 1
Kinematics in different coordinate systems 194
kinetic energy 510
Kinetic energy in CMCS 319
Kinetic energy in normal coordinates 576
Kinetic energy, resonance 97
Kinetic energy, rotational 513
Kinetic energy, space average of 69
Kinetic energy, time average of 69
Kirchhoff's rule 107
Kronecker delta 181
Laboratory cone 550
Lagrange's equations in a conservative force field 471
Lagrange's equations, for a single particle 468
Lagrange's equations, for a system of particles 477
Lagrangian dynamics 463
Lagrangian function 470
Lamina, plane 524
Laminar flow 648 662
Laminar motion 663
Laplacian operator 174
Lateral strain 371
Law of Cosines 146
Law of equal areas 247
| Law of Sines 149
Length, contraction 678
Length, standard of 2
Lightly damped oscillator 74
Line integral 161
Line of node 542
Linear differential equation 63
Linear harmonic motion 58
Linear harmonic oscillator 62
Linear momentum 6 28
Linear momentum in CMCS 319
linear oscillator 58 61 65
Linear restoring force 49 61
Lines of force 394
Lissajous curves 219
Lissajous figures 217 223
Loaded strings 632
Logarithmic decrement 74
Logarithmic derivative 82
Longitudinal strain 369
Longitudinal waves 645
Lorentz transformations 674 675
Lorentz transformations, equations 678
Lorentz transformations, for kinetic and total energy 690
Lorentz transformations, for mass and momentum 689
Lorentz transformations, for velocity 682
Lorentzian (resonance curve) 97
Luminous intensity 4
Mass, standard of 3
Matrix, symmetric 579
Metric system 2 3
Minkowski force 687
MKS system See "Metric system"
Mode of vibrating string 621
Mode, antisymmetric 574
Mode, normal 574 583
Mode, symmetric 574
Modulation 90
Modulus of rigidity 371
Mole 4
Molecules, vibrations of 602
Moment of external force 297
Moment of force 213
Moment of inertia 512 518 521
Moment of inertia, calculation of 349
Moment of inertia, of circular disk, solid cylinder 356
Moment of inertia, of hoop or cylindrical shell 354
Moment of inertia, of sphere and spherical shell 357
Moment of inertia, of thin rod 350
Moment, generalized 487
Motion in two and three dimensions 188
Motion of a heavy top 552
Motion of a sleeping top 556
Motion of systems 301
Motion on rotating earth 437
Motion under central force 244
Motion, 556
Motion, equations of 575
Natural angular frequency 72
Natural frequency, free 63
Neutral equilibrium 567
Newton 1
Newton's Laws 5
Newton's laws, first law 5
Newton's laws, law of gravitation 51 387
Newton's laws, third law, strong form 296 297
Newton's laws, third law, weak form 296
Newton's laws, universal law of gravitation 17
Newtonian relativity 673
Newtonian relativity, principle of 427
Newtonian transformations 673
nodes 542 628
Nodes, line of 542
Nonholonomic constraints 481
Nonholonomic systems 464
Noninertial forces 7 9
Noninertial systems 7 427
Nonlinear oscillators 58 61
Nonlinear systems 58
Nonlinear systems, asymmetrical 125
Nonlinear systems, coordinate 425
Nonlinear systems, energy diagram for 134
Nonlinear systems, oscillating 122
Nonlinear systems, phase diagram for 134
Nonlinear systems, symmetrical 123
Normal acceleration 160
Normal coordinates 570 574 582
Normal coordinates, equations of motion in 575
Normal coordinates, kinetic energy in 576
Normal coordinates, potential energy in 576
Normal coordinates, small oscillations in 581
Normal frequencies 582
Normal modes 574 583
Normal modes of vibration, vibrating string 617
Normal reaction 11
Normal stress 367
Null modes 638
Null vector 148
Nutation 556
Nutation, angle of 542
One-stage rocket 307
Orbits in an inverse-square field 264
Orbits, shape of 270 272
Orbits, transfers 281
Orthogonal systems 181
Orthogonal transformations 675
Orthogonality conditions 181
Oscillating systems 104
Oscillating systems, free 63
Oscillating systems, nonlinear 122
Oscillations, center of 364
Oscillations, distortion of 89
Oscillations, forced 604
Oscillations, free 70
Oscillations, linear 58 61
Oscillations, longitudinal 645
Oscillations, modulation effect of 90
Oscillations, nonlinear 58 61
Oscillations, radial 277
Oscillations, small 560
Oscillations, sympathetic 596
Oscillators, coupled 566 570
Oscillators, critically damped 71
Oscillators, driven 85
Oscillators, energy consideration for 81
Oscillators, forced 85 604
Oscillators, free 70
Oscillators, frequency of 65
Oscillators, harmonic 58 65
Oscillators, linear 58 61 65
Oscillators, nonlinear 58 61
Oscillators, overdamped 71 75
Oscillators, underdamped 71
Overdamped oscillators 71 75
overtones 620
parabola 273
Parabolic cables 375
Parallel axis theorem 350 352 524
Parallelogram, area of 148
Parallelopiped, volume of 150
Particle dynamics 28
Particles, system of 632
Particular solution 86 88
Pascal's law 649 651
Pendula, coupled 586
Pendula, physical 524
Pendula, tuned/detuned 596
Permanent deformation point 370
Perpendicular axis theorem 352 353 524
Perturbation method 126
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