Introduction to classical mechanics: with problems and solutions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Ausgabe: | First published |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XVII, 719 Seiten Illustrationen, Diagramme |
| ISBN: | 9780521876223 0521876222 |
Internformat
MARC
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| 020 | |a 9780521876223 |c Hardback |9 978-0-521-87622-3 | ||
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| 100 | 1 | |a Morin, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to classical mechanics |b with problems and solutions |c David Morin |
| 246 | 1 | 3 | |a Classical mechanics |
| 250 | |a First published | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2008 | |
| 300 | |a XVII, 719 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Mécanique | |
| 650 | 4 | |a Mécanique - Problèmes et exercices | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Mechanics |v Problems, exercises, etc | |
| 650 | 0 | 7 | |a Mechanik |0 (DE-588)4038168-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-016333813 | ||
Datensatz im Suchindex
| _version_ | 1804137405329965057 |
|---|---|
| adam_text | Contents
Preface
page
xiii
1
Strategies for solving problems
1
1.1
General strategies
1
1.2
Units, dimensional analysis
4
1.3
Approximations, limiting cases
7
1.4
Solving differential equations numerically
11
1.5
Problems
14
1.6
Exercises
15
1.7
Solutions
18
2
Statics
22
2.1
Balancing forces
22
2.2
Balancing torques
27
2.3
Problems
30
2.4
Exercises
35
2.5
Solutions
39
3
Using
F
=
ma
51
3.1
Newton s laws
51
3.2
Free-body diagrams
55
3.3
Solving differential equations
60
3.4
Projectile motion
65
3.5
Motion in a plane, polar coordinates
68
3.6
Problems
70
3.7
Exercises
75
3.8
Solutions
84
4
Oscillations
101
4.1
Linear differential equations
101
4.2
Simple harmonic motion
105
VII
v¡¡¡
Contents
4.3
Damped harmonic motion
107
4.4
Driven (and damped) harmonic motion
109
4.5
Coupled oscillators 1
15
4.6
Problems
120
4.7
Exercises
122
4.8
Solutions
127
5
Conservation of energy and momentum
138
5.1
Conservation of energy in one dimension
13 8
5.2
Small oscillations
147
5.3
Conservation of energy in three dimensions
148
5.4
Gravity
152
5.5
Momentum
156
5.6
The center of mass frame
161
5.7
Collisions
164
5.8
Inherently inelastic processes
167
5.9
Problems
173
5.10
Exercises
180
5.11
Solutions
194
6
The Lagrangian method
218
6.1
The Euler-Lagrange equations
218
6.2
The principle of stationary action
221
6.3
Forces of constraint
227
6.4
Change of coordinates
229
6.5
Conservation laws
232
6.6
Noether s theorem
236
6.7
Small oscillations
239
6.8
Other applications
242
6.9
Problems
246
6.10
Exercises
251
6.11
Solutions
255
7
Central forces
281
7.1
Conservation of angular momentum
281
7.2
The effective potential
283
7.3
Solving the equations of motion
285
7.4
Gravity, Kepler s laws
287
7.5
Problems
296
7.6
Exercises
298
7.7
Solutions
300
Contents ix
8
Angular
momentum, Part I (Constant L)
309
8. ]
Pancake object in x-y plane
310
8.2
Nonplanar objects
316
8.3
Calculating moments of inertia
318
8.4
Torque
322
8.5
Collisions
328
8.6
Angular impulse
331
8.7
Problems
333
8.8
Exercises
339
8.9
Solutions
349
9
Angular momentum, Part II (General
Ĺ)
371
9.1
Preliminaries concerning rotations
371
9.2
The inertia tensor
376
9.3
Principal axes
383
9.4
Two basic types of problems
388
9.5
Euler s equations
393
9.6
Free symmetric top
396
9.7
Heavy symmetric top
399
9.8
Problems
415
9.9
Exercises
421
9.10
Solutions
428
10
Accelerating frames of reference
457
10.1
Relating the coordinates
458
10.2
The fictitious forces
460
10.3
Tides
471
10.4
Problems
477
10.5
Exercises
482
10.6
Solutions
486
11
Relativity (Kinematics)
501
11.1
Motivation
502
11.2
The postulates
509
11.3
The fundamental effects
511
11.4
The
Lorentz
transformations
523
11.5
Velocity addition
529
11.6
The invariant interval
533
11.7
Minkowski diagrams
536
11.8
The
Doppler
effect
539
11.9
Rapidity
543
11.10
Relativity without
с
546
Contents
11.
11
Problems
11.
12
Exercises
11.
13
Solutions
12
Relativity
(Dynamics)
12.
1
Energy
and momentum
12.
.2
Transformations of
£
and p
12.
.3
Collisions and decays
12.
.4
Particle-physics units
12.
.5
Force
12.6
Rocket motion
12
.7
Relativistic strings
12
.8
Problems
12
.9
Exercises
12
.10
Solutions
549
556
565
584
584
594
596
600
601
606
609
611
615
619
13
4-vectors
634
13.1
Definition of 4-vectors
634
13.2
Examples of 4-vectors
635
13.3
Properties of 4-vectors
637
13.4
Energy, momentum
639
13.5
Force and acceleration
640
13.6
The form of physical laws
643
13.7
Problems
645
13.8
Exercises
645
13.9
Solutions
646
14
General Relativity
649
14.1
The Equivalence Principle
649
14.2
Time dilation
650
14.3
Uniformly accelerating frame
653
14.4
Maximal-proper-time principle
656
14.5
Twin paradox revisited
658
14.6
Problems
660
14.7
Exercises
663
14.8
Solutions
666
Appendix A Useful formulas
675
Appendix
В
Multivariable,
vector calculus
679
Appendix
С
F= ma vs. F= dp/dt
690
Appendix
D
Existence of principal axes
693
Appendix
E
Diagonalizing matrices
696
Appendix
F
Qualitative relativity questions
698
Contents
Appendix
G
Derivations of the Lv/c2 result
704
Appendix
H
Resolutions to the twin paradox
706
Appendix
I Lorentz
transformations
708
Appendix
J
Physical constants and data
711
References
713
Index lib
|
| adam_txt |
Contents
Preface
page
xiii
1
Strategies for solving problems
1
1.1
General strategies
1
1.2
Units, dimensional analysis
4
1.3
Approximations, limiting cases
7
1.4
Solving differential equations numerically
11
1.5
Problems
14
1.6
Exercises
15
1.7
Solutions
18
2
Statics
22
2.1
Balancing forces
22
2.2
Balancing torques
27
2.3
Problems
30
2.4
Exercises
35
2.5
Solutions
39
3
Using
F
=
ma
51
3.1
Newton's laws
51
3.2
Free-body diagrams
55
3.3
Solving differential equations
60
3.4
Projectile motion
65
3.5
Motion in a plane, polar coordinates
68
3.6
Problems
70
3.7
Exercises
75
3.8
Solutions
84
4
Oscillations
101
4.1
Linear differential equations
101
4.2
Simple harmonic motion
105
VII
v¡¡¡
Contents
4.3
Damped harmonic motion
107
4.4
Driven (and damped) harmonic motion
109
4.5
Coupled oscillators 1
15
4.6
Problems
120
4.7
Exercises
122
4.8
Solutions
127
5
Conservation of energy and momentum
138
5.1
Conservation of energy in one dimension
13 8
5.2
Small oscillations
147
5.3
Conservation of energy in three dimensions
148
5.4
Gravity
152
5.5
Momentum
156
5.6
The center of mass frame
161
5.7
Collisions
164
5.8
Inherently inelastic processes
167
5.9
Problems
173
5.10
Exercises
180
5.11
Solutions
194
6
The Lagrangian method
218
6.1
The Euler-Lagrange equations
218
6.2
The principle of stationary action
221
6.3
Forces of constraint
227
6.4
Change of coordinates
229
6.5
Conservation laws
232
6.6
Noether's theorem
236
6.7
Small oscillations
239
6.8
Other applications
242
6.9
Problems
246
6.10
Exercises
251
6.11
Solutions
255
7
Central forces
281
7.1
Conservation of angular momentum
281
7.2
The effective potential
283
7.3
Solving the equations of motion
285
7.4
Gravity, Kepler's laws
287
7.5
Problems
296
7.6
Exercises
298
7.7
Solutions
300
Contents ix
8
Angular
momentum, Part I (Constant L)
309
8. ]
Pancake object in x-y plane
310
8.2
Nonplanar objects
316
8.3
Calculating moments of inertia
318
8.4
Torque
322
8.5
Collisions
328
8.6
Angular impulse
331
8.7
Problems
333
8.8
Exercises
339
8.9
Solutions
349
9
Angular momentum, Part II (General
Ĺ)
371
9.1
Preliminaries concerning rotations
371
9.2
The inertia tensor
376
9.3
Principal axes
383
9.4
Two basic types of problems
388
9.5
Euler's equations
393
9.6
Free symmetric top
396
9.7
Heavy symmetric top
399
9.8
Problems
415
9.9
Exercises
421
9.10
Solutions
428
10
Accelerating frames of reference
457
10.1
Relating the coordinates
458
10.2
The fictitious forces
460
10.3
Tides
471
10.4
Problems
477
10.5
Exercises
482
10.6
Solutions
486
11
Relativity (Kinematics)
501
11.1
Motivation
502
11.2
The postulates
509
11.3
The fundamental effects
511
11.4
The
Lorentz
transformations
523
11.5
Velocity addition
529
11.6
The invariant interval
533
11.7
Minkowski diagrams
536
11.8
The
Doppler
effect
539
11.9
Rapidity
543
11.10
Relativity without
с
546
Contents
11.
11
Problems
11.
12
Exercises
11.
13
Solutions
12
Relativity
(Dynamics)
12.
1
Energy
and momentum
12.
.2
Transformations of
£
and p
12.
.3
Collisions and decays
12.
.4
Particle-physics units
12.
.5
Force
12.6
Rocket motion
12
.7
Relativistic strings
12
.8
Problems
12
.9
Exercises
12
.10
Solutions
549
556
565
584
584
594
596
600
601
606
609
611
615
619
13
4-vectors
634
13.1
Definition of 4-vectors
634
13.2
Examples of 4-vectors
635
13.3
Properties of 4-vectors
637
13.4
Energy, momentum
639
13.5
Force and acceleration
640
13.6
The form of physical laws
643
13.7
Problems
645
13.8
Exercises
645
13.9
Solutions
646
14
General Relativity
649
14.1
The Equivalence Principle
649
14.2
Time dilation
650
14.3
Uniformly accelerating frame
653
14.4
Maximal-proper-time principle
656
14.5
Twin paradox revisited
658
14.6
Problems
660
14.7
Exercises
663
14.8
Solutions
666
Appendix A Useful formulas
675
Appendix
В
Multivariable,
vector calculus
679
Appendix
С
F= ma vs. F= dp/dt
690
Appendix
D
Existence of principal axes
693
Appendix
E
Diagonalizing matrices
696
Appendix
F
Qualitative relativity questions
698
Contents
Appendix
G
Derivations of the Lv/c2 result
704
Appendix
H
Resolutions to the twin paradox
706
Appendix
I Lorentz
transformations
708
Appendix
J
Physical constants and data
711
References
713
Index lib |
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| illustrated | Illustrated |
| index_date | 2024-07-02T19:55:29Z |
| indexdate | 2024-07-09T21:11:46Z |
| institution | BVB |
| isbn | 9780521876223 0521876222 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016333813 |
| oclc_num | 154682282 |
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| physical | XVII, 719 Seiten Illustrationen, Diagramme |
| publishDate | 2008 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Morin, David Verfasser aut Introduction to classical mechanics with problems and solutions David Morin Classical mechanics First published Cambridge Cambridge University Press 2008 XVII, 719 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Mécanique Mécanique - Problèmes et exercices Mechanics Mechanics Problems, exercises, etc Mechanik (DE-588)4038168-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mechanik (DE-588)4038168-7 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016333813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morin, David Introduction to classical mechanics with problems and solutions Mécanique Mécanique - Problèmes et exercices Mechanics Mechanics Problems, exercises, etc Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4123623-3 |
| title | Introduction to classical mechanics with problems and solutions |
| title_alt | Classical mechanics |
| title_auth | Introduction to classical mechanics with problems and solutions |
| title_exact_search | Introduction to classical mechanics with problems and solutions |
| title_exact_search_txtP | Introduction to classical mechanics with problems and solutions |
| title_full | Introduction to classical mechanics with problems and solutions David Morin |
| title_fullStr | Introduction to classical mechanics with problems and solutions David Morin |
| title_full_unstemmed | Introduction to classical mechanics with problems and solutions David Morin |
| title_short | Introduction to classical mechanics |
| title_sort | introduction to classical mechanics with problems and solutions |
| title_sub | with problems and solutions |
| topic | Mécanique Mécanique - Problèmes et exercices Mechanics Mechanics Problems, exercises, etc Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Mécanique Mécanique - Problèmes et exercices Mechanics Mechanics Problems, exercises, etc Mechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016333813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT morindavid introductiontoclassicalmechanicswithproblemsandsolutions AT morindavid classicalmechanics |