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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
Acceleration, angular      198
Acceleration, centripetal      17 161 199 433
Acceleration, Coriolis      199
Acceleration, normal      160
Acceleration, radial      198
Acceleration, tangential      160
Amplitude      65
Amplitude, resonance      92
Amplitude, resonance frequency      92
Analogy, between mechanical and electrical systems      106
Analogy, between rectilinear motion and rotational motion      347
Angle of friction      12
Angle of repose      12
Angular acceleration      198
Angular frequency      65
Angular frequency, free and natural      72
Angular momentum in CMCS      319
Angular momentum, conservation of      297 298 490
Angular momentum, constant of motion      246
Angular time period      258
Angular velocity      198
Angular wave number      627
Anticommutative      147
Antisymmetric mode      574
Approximation, iterative      374
Apsidal angle      280
Archimedes' principle      652 653
Area of a parallelogram      148
Area of an elipse      274
Asymmetrical potential      123
Asymmetrical top      530
Atmosphere scale height      652
Attractive force      260 264
Attractive potential      260
Attractive real potential      255
Atwood machine      9 473
Auxiliary equation      67
Average stress      367
Azimuthal angle      201
Back scattering      312
Balancing, dynamic      528
Balancing, static      528
Base units      2
Base vectors      151
Beats      596
Bending moments      378
Bernoulli's equation      659 660
Binomial theorem      124
Body angle      542
Body axes, set of      340
Body axes, symmetry axis      548
Body coordinate system      549
Bound motion      130
British system      3
bulk modulus      371
Cables, catanary      377
Cables, flexible      373
Cables, flexible, under distributed load      375
Cables, flexible, with concentrated load      374
Cables, parabolic      375
Candela      4
Capacitors in parallel      109
Capacitors in series      109
Cartesian coordinates      188 194
Catanary cables      377
Center of a cone      344
Center of a frustrum of a cone      344
Center of a hemispherical shell      342
Center of a rigid body      341
Center of a semicircle      342
Center of a spherical hemisphere      342
Center of gravity      390
Center of mass      241 291
Center of oscillation      364
Center of precession      364 365
Center, coordinate system      See "CMCS"
Center-of-mass coordinate system      See "CMCS"
Centimeter-gram-second system      See "CGS system"
Central force      238 389
Central force, field orbits      253
Central force, motion      241 245
Central force, spherically symmetric      391
Centrifugal barrier      See "Centrifugal potential"
Centrifugal force      434
Centrifugal potential      250
centripetal acceleration      17 161 199 433
Centripetal force      13 17 434
cgs system      3
Chandler wobble      552
Characteristic equation      67 529
Characteristic time      39 41 81 258
Characteristic values      530
Characteristic vectors      530
circle      273
circular motion      18
Clocks, slowing of      679
Closed orbits      258
Closed system      489
CMCS      317
CMCS, angular momentum in      319
CMCS, collisions in      320
CMCS, elastic collisions in      324
CMCS, inelastic collisions in      324
CMCS, kinetic energy in      319
CMCS, linear momentum in      319
Coefficient of friction      12
Coefficient of kinetic friction      12
Coefficient of restitution      316
Coefficient of static friction      12
Coefficient of viscosity      661
Collisions      291
Collisions in CMCS      320 322
Collisions, elastic      308 309
Collisions, endoergic      314 316
Collisions, exoergic      314
Collisions, head-on      312
Collisions, inelastic      309 314
Column matrix      182
Commensurable frequencies      224
Commensurable periods      258
Commutative properties      147
Compliance      61
components of vector      154
Compound pendulum      362
Compressibility      371 647
Configuration of a rigid body      340
Configuration of a system      464
Conservation laws      291 308 489 494
Conservation of angular momentum      297 298
Conservation of energy      46 298 392 492
Conservation of linear momentum      293 295
Conservative force      44 45 206
Conservative force field      59
Conservative systems      467
Constancy of speed of light, principle of      674
Constant of motion      46 488
Constraints      464 481
Constraints, holonomic      481
Constraints, nonholonomic      481
Continua, deformable      367
Continuity condition      642
Continuity equation      654
Conveyor belts      301 304
Coordinate systems      188
Coordinate systems, center-of-mass      317
Coordinate systems, inertial      550
Coordinate systems, nonlinear      425
Coordinate systems, rotating      429
Coordinate systems, translating      425
Coordinate transformations      176 181
Coordinates, cyclic      487
Coordinates, generalized      464 578
Coordinates, ignorable      487
Coordinates, normal      570 574 582
Coriolis acceleration      199
Coriolis force      434
Coriolis theorem      433
Couple      373
Coupled equation      450
Coupled oscillators      566 570
Coupled pendula      586
Coupling, strong/weak      596
Covariant formulation      683
Covariant four-dimensional form      684
Critically damped oscillators      71 74
Cross product      147 328
Cross-sectional area      329
Curl      164
Curl of a vector      172
Cyclic coordinates      487
Cyclonic winds      454
Cylindrical coordinates      191
Cylindrical polar coordinates      199
Damped harmonic motion, oscillator      58 70
Damped oscillator, critically      74
Damped oscillator, phase diagram for      133
Decay constant      81
Decrement of motion      74
Deflection from the vertical      442
Deflection of a projectile      440
Deformable continua      367
Deformation point, permanent      370
Degrees of freedom      464
Del operator in cylindrical and spherical coordinates      204
Derived units      2
Detuned pendula      596
Diagonalizing      529
Dielectric coefficient of the ionosphere      32
Differential equations, homogeneous, linear, second-order      63
Differential equations, inhomogeneous      86
Differentiation of vectors      158
Dilation time      679
dimensions      2 4
Directional cosines      155
Disintegration energy      315
Dispersive medium      629
Displacement      65
Displacement, actual      466
Dissipative frictional force      81
Dissipative systems      604
Distortion      89
Distributive properties      147
Divergence      164
Divergence of a vector      167
Divergence, Theorem      169
Dot product      145
Doubly periodic      258
Driven oscillators      58 85 See
Driving frequency      92
Dumbell      515
Dyad, scalar multiplication      536
Dyadic      517 536
Dynamic balancing      528
Dynamics      1
Dynamics in three dimensions      215
Dynamics, effects of      439
Dynamics, fluid      648
Dynamics, relativistic      686
Eccentricity      269 274
Effective force      249
Effective potential      249 253 255 259 264 268 277 554
effective spring constant      278
Eigenvalues      530
Eigenvectors      530
Einstein's postulates      674
Elastic collisions      308 309
Elastic collisions in CMCS      324
Elastic limit      370
Elastic modulus      369
Elastic properties of solids      370
Elasticity      367
Electromagnetic waves      31
ellipse      130 271 273
Ellipse, area of      274
Ellipsoid      534
Endoergic collisions/reactions      314 316
Energy conservation theorem      299
Energy of the simple harmonic oscillator      68
Energy, conservation of      46 298 392 492
Energy, constant of motion      246
Energy, decrement      81
Energy, diagram      129 134
Energy, disintegration      315
Energy, dissipation, rate of      99
Energy, flow      642
Energy, for oscillators      68 81
Energy, integral      46
Energy, kinetic      510
Energy, potential      68 393 394 566 660
Energy, resonance      96
Energy, threshold      316
Energy, transfer      601
Equations of motion (in normal coordinates)      575
Equilibrium      566
Equilibrium of flexible cable and strings      373
Equilibrium of rigid bodies      372
Equilibrium of solid beams      378
Equilibrium, neutral      567
Equilibrium, stable      59 60 567
Equilibrium, unstable      567
Equipotential lines      397
Equipotential surface      394 397
Escape velocity      52 53
Euler formula      67
Euler's dynamical equations      546 659
Euler's equations of motion for a rigid body      545
Eulerian angles      542
Event      686
Fast precession      556
Fictitious force      9
First rank, tensor of      536
Fluid dynamics      648
Fluid flow, ideal      658
Fluid statics      648
Fluids      614
Fluids in motion      653
foci      271
Force field, conservative      59
Force field, lines      395
Forced oscillators      58 85 604
Forced oscillators, harmonic      85
Forces      6
Forces of constraints      338
Forces, attractive      260 264
Forces, Central      389
Forces, centrifugal      434
Forces, centripetal      17 434
Forces, conservative      44 45
Forces, Coriolis      434
Forces, Effective      249
Forces, fictitious      9
Forces, frictional      11 13
Forces, generalized      466
Forces, gravitational      17 387 389
Forces, lines of      394
Forces, Minkowski      687
Forces, noninertial      7 9
Forces, position-dependent      44
Forces, repulsive      259 264
Forces, symmetric      392
1 2 3 4
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