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Synge J.L., Griffith B.A. Ч Principles of Mechanics
Synge J.L., Griffith B.A. Ч Principles of Mechanics



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Ќазвание: Principles of Mechanics

јвторы: Synge J.L., Griffith B.A.

язык: en

–убрика: ћеханика/

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

ed2k: ed2k stats

»здание: second

√од издани€: 1949

 оличество страниц: 517

ƒобавлена в каталог: 05.05.2013

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ѕредметный указатель
Absolute equations of motion      493Ч495
Absolute velocity, acceleration, and force      494 495
Acceleration      27 28 36 305 332
Acceleration in cylindrical coordinates      306 307
Acceleration in relativity      492 493 495
Acceleration in spherical polar coordinates      407 468
Acceleration of automobile      205 206
Acceleration of Coriolis      349
Acceleration of transport      349
Acceleration, absolute      495
Acceleration, complementary      349
Acceleration, due to gravity      see "g"
Acceleration, radial and transverse components      120 125
Acceleration, tangential and normal components      118 119 126 305 306 332
Accelerations, composition of      141 307 308
Action and reaction, law of      32 36
Addition of vectors      19Ч22 36
Air, resistance of      151 154Ч159 184
Airplane      271 272 444 512 513
Ames, J.S.      16
Amplitude of oscillations      162
Angle of friction      87 88 114
Angular impulse      357
Angular momentum, in impulsive motion      229Ч231 238 357 358 361
Angular momentum, of particle      128 129 146 329 333 341 360
Angular momentum, of rigid body      193 194 196 222 223 330Ч332 333
Angular momentum, of system      134Ч136 147 329 330 344 345 360
Angular momentum, relative to mass center      135 136 147 330 345 355 360 361
Angular velocity, of rigid body      122 126 308Ч311 332
Angular velocity, of the earth      143
Anomaly      187
Aphelion      180
Appell, P.      xi
Applications, in dynamics in space      364Ч411Ч414 418Ч453 464
Applications, in plane dynamics      151Ч184Ч186 189Ч222 223
Applications, in plane statics      74Ч113Ч116
Applications, in statics in space      275Ч278 296 301
Applications, of Lagrange's equations      467Ч472
Applied force      58 295
Approximations for electromagnetic lenses      397Ч403
Apse      171Ч174 186
Apse, advance of, for spherical pendulum      381
Apsidal angle      173 174 378Ч381
Archimedes      82
Areal velocity      170 180 185
Associative property of vector addition      22
Astatic center      73
Astronomical frame of reference      31 33 141 143
Astronomical latitude      145 403
Attraction, electrostatic      176
Attraction, gravitational      82Ч86 114 144Ч146 176 177 404 405 509
automobile      204Ч206
Axes of inertia, principal      316Ч324 333
Axially symmetric electromagnetic field      387Ч403 413
Axis, of rotation, instantaneous      308
Axis, of screw displacement      285
Axis, of symmetry      78 321 322
Axis, of wrench      269 270
Balancing, problems of      219Ч222
Ball slipping on table      447Ч450 454
Ballistic pendulum      235 236
Ballistics      151 184 see
Bars in frame      106 108
Base point      61 259 280 281
Base point, change of      260 283 284
Beam, internal reactions in      92 93 114 272 273
Beam, thin      92Ч98 114
Becker, K.      151
Bending moment      92Ч98 114 272 273
Billiard ball      447Ч450 464
Binormal      264
Blank, A.A.      388
Body centrode      124 125 309
Body cone      309 421 425 427 463
Bound vector      18 19
Bridge, suspension      100 114
Cable, flexible      98Ч105 114 115
Cable, in contact with curve      104 105 115
Cable, in space      265 266
Cajori, F.      32
Calibration of spring      17
Campbell, J.W.      103
Cardan's suspension      418
Catenary      100Ч104 115
Celestial pole, motion of      428 429
Center, astatic      73
Center, instantaneous      123Ч126
Center, of gravity      84Ч86 114 271
Center, of mass      see "Mass center"
Center, of oscillation      201
Center, of percussion      239
Center, of system of parallel forces      271
Centimeter      13
Central force, general      128 168Ч176 185
Central force, varying as inverse square of distance      176Ч184 185 462
Central force, varying directly as distance      168 169 185
Central symmetry      77
Centrifugal force      143Ч145 147 349 350 406
Centrode      124 125 309
Chain      see "Cable"
Chako, N.      388
Change of base point      260 283 284
Change of units      504Ч508
Charge on electron      386 387
Charged particle, in axially symmetric electromagnetic field      388Ч403 413
Charged particle, in electromagnetic field      176 381Ч403 412 413
Charged particle, in uniform electromagnetic field      383Ч387 412
Chasles' theorem      303
Circular disk and cylinder, moments of inertia of      190 191 222 324
circular motion      28
Circular orbit, stability of      174Ч176
clock      12 13 501
Clock in relativity      475Ч480 482 483 487 490 492 493
Clocks, synchronization of      477Ч480
cn x      368 412
Coefficient, of friction      87 88 114
Coefficient, of restitution      232Ч234 239
Collar, A.R.      316
Collisions      231Ч235 239
Commutative property in vector operations      19 21 246 267
Complementary acceleration      349
Complex frame      111 112
components of vector      22Ч24 32 36 36 245 see "Velocity"
Composition, of accelerations      141 307 308
Composition, of couples      208
Composition, of finite rotations      20 282
Composition, of infinitesimal displacements      281Ч283 302
Composition, of velocities      140 307 308 491
Compound pendulum      198Ч201 223 370
Compression      233 234
Compression, modulus      186
Cone of friction      87
Cone, body or polhode      309 421 425 427 463
Cone, space or herpolhode      309 421 425 427 453
Configuration of a system      64 286
Conical pendulum      374 375
Conjugate lines      304
Conservation of energy      130 131 137 146 147 196 201 223 231 341 346 356 360 361
Conservative field      66
Conservative system      65Ч67 294 295 302
Constraints      57Ч60 285Ч292
Constraints, moving      474
Constraints, workless      54Ч57 70
Contact, rolling      55Ч57 70 123 124
Contact, rough      86Ч88 114
Contact, smooth      54 55 57 70 86
Continuity of bodies      14 15 76
Contraction of moving rod      486 487 490
Coordinate vectors      23
Coordinates, cylindrical      306 307 338
Coordinates, generalized      285Ч292 302 462Ч472
Coordinates, spherical polar      467
Coriolis, acceleration of      349
Coriolis, force      143 144 147 349 406
Coulomb's law      176
Couple      49
Couple, gyroscopic      442Ч444 454
Couple, impulsive      229
Couple, moment of      49 50 267
Couple, twisting, in a beam      272
Couple, work done by      64 293
Couples, composition of      268
Courant, R.      320
Covering operation      320
Cranz, C.      151
Critical form for a frame      113
Cuboid, moment of inertia of      324
Curvature, radius of      119 264
Curves in space      264 265
Cuspidal motion of a top      436Ч438
Cylinder, balancing problem for      219Ч222
Cylinder, moments of inertia of      191 222 324
Cylinder, rolling down inclined plane      202Ч204
Cylindrical coordinates      306 307 338
D'Alembert's principle      138 139 147
Dale, J.B.      370
Damped oscillations      163Ч168 185
Deadbeat oscillations      166 185
Decomposition, method of      78 79 114 325
Decrement, logarithmic      166
Degrees of freedom      207 208 287
Deimel, R.F.      445
density      76 77
Determination of past and future      340 341
Deviations due to earth's rotation      145 407 408 414
Differentiation, of vectors and their products      24Ч26 35 250 267
Differentiation, used to find moments of inertia      325 326
Digonal symmetry      321
Dimensional notation      503
Dimensionless quantity      504 508
Dimensions, theory of      501Ч513
Directed line      22
Discontinuity in bodies      14 15
Discontinuous motion      231
Disk, moment of inertia of      190 222 324
Disk, rolling on plane      450Ч453 454
Displacement, of rigid body      61 62 70 278Ч285 290 301 302
Displacement, of rigid body, reduced to translation and rotation      61 62 280 281 302
Displacement, of rigid body, screw      284 285
Displacement, virtual      53 58 461
Distributive property of vector operations      20 246 249
Disturbing force      162 163 166Ч168 184 185
dn x      368 412
Drag      272
Dugan, R.S.      13 429
Duncan, W.J.      316
Dynamical unit of force      34 502
Dynamics, in relativity      491Ч498 499
Dynamics, in space, applications in      364Ч411Ч414 418Ч453 454
Dynamics, in space, methods of      337Ч359 360 361 see "Particle" "Rigid "System
Dynamics, plane, applications in      151Ч184Ч186 189Ч222 223
Dynamics, plane, methods of      127Ч146 147
Dyne      34
Earth's axis, motion of      428 429
Earth, angular velocity of      143
Earth, attraction of      82 84Ч86 144Ч146 404 405
Earth, models of      5 6 84 85 144 403 428 429
Earth, rotation of      13 143Ч146 403Ч411 414
Eccentric anomaly      187
Effective force      138
Einstein, A.      7 475 477 478
Elastic beam      95Ч98 114
Elastic bodies in collision      231Ч235 239
Electric field, axially symmetric      387 390Ч392 396
Electric field, uniform      383Ч386 412
Electric lens, focal length of      403 see
Electric potential      381
Electric vector      381
electromagnetic field      381Ч403 412 413
Electromagnetic field, axially symmetric      387Ч403 413
Electromagnetic field, uniform      383Ч387 412
Electromagnetic lens      392Ч403 413
Electromagnetic lens, approximations for      397Ч403
Electromagnetic lens, focal length of      403
Electromagnetic lens, magnification of      396 413
Electron optics      see "Charged particle"
Electron, determination of $\epsilon/m$ for      386 387
Electrostatic attraction      176
Electrostatic field      381 383Ч386 387 390Ч392 396 412 see
Electrostatic lens      398
Ellipse, momental      322 323
Ellipsoid, momental      315Ч322 333
Ellipsoid, moments of inertia of      323Ч325
Ellipsoid, of Poinsot      420 421 425 453
Ellipsoidal shell, moments of inertia of      326
Elliptic cylinder and plate, moments of inertia of      324
Elliptic functions      364Ч370 411 412
Elliptic harmonic motion      169 374
Elliptic integral      368
Elliptical orbit      169 179Ч182 186 374
Emde, F.      370
Energy in relativity      495Ч497 499 see "Potential
Energy, Principle of      129Ч131 136 146 147 196 201 223 231 341 342 346 352 356 360 361 382 495Ч497 499
Energy, total      130 137 341 346
Equation of the hodograph      156 184
Equations of charged particle      382 383 386 388 389
Equations of motion, impulsive      229Ч231 238 357 358 361 470Ч472
Equations of particle, in a plane      127 128 146 461 462
Equations of particle, in cylindrical coordinates      338
Equations of particle, in relativity      493Ч498 499
Equations of particle, in space      337Ч342 360
Equations of particle, relative to rotating earth      403Ч406 414
Equations of particle, relative to rotating frame      142 348Ч350
Equations, Lagrange's      458Ч472
Equations, of rigid body, in general      355 356 361
Equations, of rigid body, moving parallel to a plane      202 223
Equations, of rigid body, with fixed axis      196 223
Equations, of rigid body, with fixed point      351 352 360
Equilibrium, of particle      39 40 69 70 262 301
Equilibrium, of rigid body, in space      273Ч278 301
Equilibrium, of rigid body, movable parallel to a fixed plane      62Ч64 70
Equilibrium, of system of particles      41Ч52 261Ч266 295Ч301
Equilibrium, stability of      214Ч222 223 296
Equimomental systems      326
Equipollent force systems      47Ч52 70 260 261 266Ч273 293 301
Equivalence, mechanical      9 10
Equivalence, of Galilean frames      480 481
Equivalent force systems      47 63 64
Equivalent simple pendulum      200 223
Erg      54
Euler Ч Bernouilli, law      96 114
Euler Ч Bernouilli, theory of beams      95Ч98 114
Euler's equations of motion      352 360
Euler's theorem      279 280 301
Eulerian angles      288Ч290
Eulerian angles, angular velocity in terms of      309 310
Event      11 478 498
Ewald, P.P.      88
Extension      96
External forces      41 42
Ferel's law      408
Ferry, E.S.      445
Fictitious forces      138 139 141Ч144 147 347Ч351 406
Field of force      66
Field, electromagnetic      381Ч403 412 413
Field, electrostatic      381 383Ч387 390Ч392 396 412
Field, gravitational      82Ч86 144 405
Field, magnetostatic      381 382 383Ч388 390Ч392 397 412
Field, scalar or vector      28
Field, uniform      67
1 2 3 4
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