A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Front Cover
Cambridge University Press, Dec 15, 1988 - Mathematics - 456 pages
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.
 

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Contents

III
1
IV
2
V
3
VII
4
VIII
5
IX
6
X
7
XI
8
CXVII
260
CXVIII
261
CXIX
263
CXX
265
CXXI
267
CXXII
268
CXXIII
269
CXXIV
271

XII
9
XIII
10
XIV
11
XV
13
XVI
14
XVII
15
XVIII
16
XIX
17
XX
18
XXI
22
XXII
26
XXIII
27
XXIV
29
XXV
30
XXVI
31
XXVII
32
XXVIII
33
XXIX
34
XXX
38
XXXI
39
XXXII
40
XXXIII
41
XXXIV
44
XXXV
45
XXXVI
47
XXXVII
48
XXXVIII
50
XXXIX
51
XL
52
XLI
54
XLII
58
XLIII
61
XLIV
62
XLV
64
XLVI
67
XLVII
69
XLVIII
71
XLIX
74
L
76
LI
77
LII
80
LIII
86
LIV
93
LV
94
LVI
95
LVII
97
LVIII
99
LIX
103
LX
109
LXI
111
LXII
117
LXIII
118
LXIV
121
LXV
122
LXVI
124
LXVIII
126
LXIX
127
LXX
129
LXXI
131
LXXII
137
LXXIII
141
LXXIV
143
LXXV
144
LXXVI
152
LXXVII
155
LXXVIII
159
LXXIX
163
LXXX
164
LXXXI
167
LXXXII
169
LXXXIII
177
LXXXIV
178
LXXXV
183
LXXXVI
185
LXXXVII
187
LXXXVIII
191
LXXXIX
192
XC
193
XCI
195
XCII
203
XCIII
207
XCIV
208
XCV
214
XCVI
216
XCVII
217
XCVIII
221
XCIX
226
C
229
CI
230
CII
232
CIII
234
CV
235
CVI
238
CVII
245
CIX
247
CX
248
CXI
249
CXII
250
CXIII
253
CXIV
254
CXV
256
CXVI
258
CXXV
272
CXXVII
274
CXXVIII
275
CXXIX
276
CXXX
279
CXXXI
280
CXXXII
283
CXXXIII
284
CXXXIV
285
CXXXV
286
CXXXVI
288
CXXXVII
292
CXXXVIII
296
CXXXIX
297
CXL
298
CXLI
300
CXLII
301
CXLIII
302
CXLIV
304
CXLVI
305
CXLVII
307
CXLVIII
309
CXLIX
310
CL
311
CLI
313
CLII
314
CLIII
316
CLIV
318
CLV
320
CLVI
321
CLVII
322
CLVIII
323
CLIX
325
CLX
328
CLXI
331
CLXII
332
CLXIII
335
CLXIV
336
CLXV
339
CLXVI
340
CLXVII
342
CLXVIII
343
CLXIX
344
CLXX
347
CLXXI
348
CLXXII
351
CLXXIII
353
CLXXIV
356
CLXXVI
358
CLXXIX
359
CLXXX
360
CLXXXI
361
CLXXXII
362
CLXXXIII
366
CLXXXIV
371
CLXXXV
374
CLXXXVI
376
CLXXXVII
378
CLXXXVIII
380
CXC
381
CXCII
382
CXCIII
383
CXCIV
384
CXCV
385
CXCVI
386
CXCIX
389
CCI
393
CCII
395
CCIII
397
CCIV
398
CCV
399
CCVI
400
CCVII
402
CCVIII
405
CCIX
406
CCXII
409
CCXIII
412
CCXIV
413
CCXV
416
CCXVI
417
CCXVIII
420
CCXX
423
CCXXI
424
CCXXII
425
CCXXIII
426
CCXXIV
427
CCXXV
430
CCXXVI
431
CCXXVII
432
CCXXVIII
433
CCXXIX
436
CCXXX
437
CCXXXI
438
CCXXXII
442
CCXXXIII
443
CCXXXIV
444
CCXXXV
446
CCXXXVI
447
CCXXXVII
449
CCXXXIX
451
CCXL
453
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Page vii - The moment of inertia of a body or system of bodies about any axis is equal to the moment of inertia about a parallel axis, through the centre of gravity, plus the moment of inertia of the whole mass collected at the centre of gravity about the original axis.

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