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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
Perturbed orbits      277 279
Phase angle      4 92 93
Phase constant      65
phase diagram      127 129 130
Phase diagram, for a damped oscillator      133
Phase diagram, for nonlinear system      134
Phase diagram, for simple harmonic oscillator      131
Phase portrait      130
Phase trajectory      130
phase velocity      32 629
Physical pendulum      362
Plane lamina      524
Plane polar coordinates      190 196
Plumb line, static effects of      438
Point transformation      181 182
Poisenille's law      663
Poisson's ratio      371
Polar angle      201
Polar coordinates      190
Polar coordinates, cylindrical      199
Position-dependent force      44
potential energy      44 45 68 238 393
Potential energy in normal coordinates      576
Potential energy of a simple pendulum      360
Potential energy, function      45 205 206
Potential energy, gravitational      51
Potential energy, gravitational, resonance      97
Potential energy, gravitational, space average of      69
Potential energy, gravitational, time average of      69
Potential, asymmetrical      123
Potential, attractive      260
Potential, centrifugal      250
Potential, effective      249 253 259 264 268
Potential, function      60
Potential, gravitational      387 393 394
Potential, homogeneous circular dish      410
Potential, repulsive      259
Potential, scalar      660
Potential, shell of finite thickness      407
Potential, solid sphere      405
Potential, spherical shell      399
Potential, symmetrical      60
Potential, thin rod      412
Precessing cone      549
Precessing motion      258 259
Precession angle      542
Precession of the plane of the pendulum      452
Precession, fast      556
Precession, slow      556
Precession, steady      555
Pressure gradient      167
Principal axes      526 529
Principal moment of inertia      526 529
Principal planes      526
Principal point      526
Principle of superposition      110
Products of inertia      512 518
Projectile motion      225
Projectile motion in three dimensions      230
Projectile motion, as a function of velocity      227
Projectile motion, with air resistance      227
Projectile motion, without air resistance      225
Propagation constant      627
Proper frame      680
Proper length      680
Proper time      680 685
Proportional limit      369 370
Quality factor      82 99
quantum mechanics      2
Radial acceleration      198
Radial distance      201
Radial oscillations      277
Radial time period      258
Radial velocity      198
radio waves, reflection of      31 33
Radius of gyration      356
Rate of energy dissipation      99
Rectangular coordinate systems      188
Reduced mass      242 318
Reflection coefficient of waves      643
Relative coordinate      318
Relative variations in length, time, mass, and momentum      691
Relativistic dynamics      686
Relativistic mechanics, Hamiltonian formulation of      693
Relativistic mechanics, Lorentz formulation of      693
Relativistic triangle      693
Relativity      671
Relativity, Newtonian principle of      427
Relativity, Special Theory of      2 671 674
Relaxation method      374
Repulsive force      259 264
Repulsive force, inverse-square      324
Repulsive potential      259
Resonance      597
Resonance, curve      97 98
Resonance, Frequency      95
Resonance, width      98
Revolution time period      258
Reynolds number      664
Right-hand rule      148
Rigid bodies, center of mass      341
Rigid bodies, configuration of      340
Rigid bodies, equilibrium of      372
Rigid bodies, motion      338 373 510
Rigidity, modulus of      371
Rockets, one-stage      307
Rockets, propulsion      302
Rockets, thrust      303
Rotating coordinate systems      429
Rotating Earth, motion on      437
Rotation about an axis      345
Rotation matrix      179
Rotational flow      657
Rotational kinetic energy      513
Rotational symmetry      293
Rotor      530
Row matrix      182
Rutherford scattering      324
Rutherford scattering, formula      330
Satellites      275
Scalar point function      161
Scalar potential      660
Scalar product of vectors      145
Scalar quantity      139
Scalar triple product      150
Scattering angle      329
Scattering angle in CMS      324
Scattering angle in LCS      324
Scattering center      329
Scattering of charged particles      32
Second rank, tensor of      535 536
Second-order differential equation      63
Selective frequency      99
Semi-major axis      130
Semicircle, center of mass      342
Shape of orbits      270 272
shear modulus      371
Shear strain      370
Shearing force      378
Shearing stress      368
Similarity transformation      539
Simple harmonic oscillator, energy of      68
Simple harmonic oscillator, phase diagram for      131
simple pendulum      358
Simple pendulum, potential energy of      360
Simultaneity      680
Sleeping top      556
Slow precession      556
Small oscillations in normal coordinates      581
Small oscillations, tensor formation      583
Small oscillations, theory of      566 576
Soft system      62 122
Solenoidal fluid flow      170
Solid angle      4
Solid beams, equilibrium      378
Solids of revolution      530
Solids, elastic properties of      370
Sound waves      645
Space, average of kinetic energy      69
Space, average of potential energy      69
Space, cone      550
Space, isotropy of      293
Space, set of axes      340
Spacelike      685
Special theory of relativity      2 671
Special theory of relativity, postulates      674
Speed of approach      316
Speed of recession      316
Speed, terminal      39
Spherical hemisphere, center of mass      342
spherical polar coordinates      193 201
Spherical top      530
Spherically symmetric central force      391
Spinning drum      13
Spring constant      61
Spring constant, effective      278
Springs in parallel      108
Springs in series      108
Stable equilibrium      47 59
Standard of length      2
Standard of mass      3
Standard of time      2
standing waves      628
Static balancing      528
Static frictional force      13
Statics      1
Statics, fluid      648
Steady precession      555
Steady-state solution      86
Steiner theorem      521 523
Stiffness constant      61
Stokes' Law      664
Stokes' theorem      174 206
Straight line      273
Strain, lateral      371
Strain, longitudinal      369
Strain, shear      370
Strain, tensile      369 370
Streamlined flow      648
Streamlined motion      663
Stress, average      367
Stress, normal      367
Stress, shearing      368
Stress, tensile      370
Stretch modulus      369
Strings, loaded      632
Strings, vibrating      614
Strong coupling      596
Symmetric force      392
Symmetric matrix      579
Symmetric mode      574
Symmetrical potential      60
Symmetrical systems      122
Symmetrical systems, nonlinear      123
Symmetrical top      552
Symmetrical top, force free motion of      546
Symmetry, highest      575
Symmetry, principles of      489 494
Symmetry, rotational      293
Symmetry, translational      298
Sympathic vibrations      596
Systems of particles      291 632
Systems, dissipative      604
Tangential acceleration      160
Taylor series      122
Temperature gradient      167
Tensile strain      369 370
Tensile stress      370
Tension      368
Tensors formation, small oscillations      583
Tensors of zero, first, second rank      535 536
Terminal speed      39
terminal velocity      38 41
Theory of relativity      671
Thin rod, moment of inertia      350
Three dimensions, dynamics in      215
Three dimensions, motion in      188
Three-vectors      684
Threshold energy      316
Time average of kinetic energy      69
Time average of potential energy      69
Time dilation      679
Time homogeneous      492
Time period      65
Time period, angular      258
Time period, radial      258
Time period, revolution      258
Time, standard of      2
Time-dependent force      31
Timelike      685
Tops, asymmetrical      530
Tops, heavy      552
Tops, sleeping      556
Tops, spherical      530
Tops, symmetrical      552
torque      213 297
Torsion modulus      371
Trajectory of a projectile      228
Transfer orbit to Mars      282
Transfer orbit to Venus      282
Transformation matrix      179
Transformations, Galilean      672 673
Transformations, Lorentz      674 675 678 689 690
Transformations, orthogonal      675
Transient solution      88 111
Transient term      86
Translating coordinate systems      425
Translational symmetry      293
Transverse velocity gradient      657
Traveling waves      627
Triple product, scalar      150
Triple product, vector      150
True strain      369
Tuned pendula      596
Turbulent flow      648
Turbulent motion      663
Turning points      47 59
Two dimensions, motion in      188
Two-body problem      317
Unbound motion      130
Underdamped oscillators      71
Undetermined multipliers      481 485
Unit dyadic      538
Unit vectors      151 160
Unit vectors, normal      161
UNITS      2
Units, base      2
Units, derived      2
Units, fundamental      2
Unstable equilibrium      567
Vectors, addition of      141
Vectors, analysis      139
Vectors, calculus      158
Vectors, components      154
Vectors, differential operators      164
Vectors, operators      139
Vectors, product      145 147
Vectors, quantity      139
Vectors, triple product      150
Velocity gradient, transverse      657
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