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Arya A.P. — Introduction to Classical Mechanics
Arya A.P. — Introduction to Classical Mechanics



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Название: Introduction to Classical Mechanics

Автор: Arya A.P.

Аннотация:

Featuring state-of-the-art computer based technology throughout, this comprehensive book on classical mechanics bridges the gap between introductory physics and quantum mechanics, statistical mechanics and optics—giving readers a strong basis for their work in applied and pure sciences.

Introduces Mathcad, using it in to do mathematical calculations, solve problems, make plots and graphs, and generally provide more in-depth coverage and a better understanding of physics. Pays special attention to such topics of modern interest as nonlinear oscillators, central force motion, collisions in CMCS, and horizontal wind circulation.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 718

Добавлена в каталог: 04.02.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, $\theta$      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
1 2 3 4
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