An introduction to mechanics:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2014
|
| Ausgabe: | 2. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190464&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190464&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Previous edition: 1973. |
| Umfang: | XX, 542 S. Ill., graph. Darst. |
| ISBN: | 9780521198110 |
Internformat
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| 100 | 1 | |a Kleppner, Daniel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to mechanics |c Daniel Kleppner, Robert Kolenkow |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2014 | |
| 300 | |a XX, 542 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 PHY 200f 2013 A 4579(2) |
|---|---|
| DE-BY-TUM_katkey | 2132894 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040008068140 |
| _version_ | 1821934139391082496 |
| adam_text | CONTENTS
PREFACE
page
xi
TO THE TEACHER
XV
LIST OF EXAMPLES
xvii
1
VECTORS AND KINEMATICS
1
1.1
Introduction
2
1.2
Vectors
2
1.3
The Algebra of Vectors
3
1.4
Multiplying Vectors
4
1.5
Components of a Vector
8
1.6
Base Vectors
11
1.7
The Position Vector
г
and Displacement
12
1.8
Velocity and Acceleration
14
1.9
Formal Solution of Kinematical Equations
19
1.10
More about the Time Derivative of a Vector
22
1.11
Motion in Plane Polar Coordinates
26
Note
1.1
Approximation Methods
36
Note
1.2
The Tayior Series
37
Note
1.3
Series Expansions of Some Common
Functions
38
Note
1.4
Differentials
39
Note
1.5
Significant Figures and Experimental
Uncertainty
40
Problems
41
vi
CONTENTS
NEWTON S LAWS
47
2.1
Introduction
48
2.2
Newtonian Mechanics and Modern Physics
48
2.3
Newton s Laws
49
2.4
Newton s First Law and
Inerţial
Systems
51
2.5
Newton s Second Law
51
2.6
Newton s Third Law
54
2.7
Base Units and Physical Standards
59
2.8
The Algebra of Dimensions
63
2.9
Applying Newton s Laws
64
2.10
Dynamics Using Polar Coordinates
72
Problems
77
FORCES AND EQUATIONS OF MOTION
81
3.1
Introduction
82
3.2
The Fundamental Forces of Physics
82
3.3
Gravity
83
3.4
Some Phenomenological Forces
89
3.5
A Digression on Differential Equations
95
3.6
Viscosity
98
3.7
Hooke s Law and Simple Harmonic Motion
102
Note
3.1
The Gravitational Force of a Spherical Shell
107
Problems
110
MOMENTUM
115
4.1
Introduction
116
4.2
Dynamics of a System of Particles
116
4.3
Center of Mass
119
4.4
Center of Mass Coordinates
124
4.5
Conservation of Momentum
130
4.6
Impulse and a Restatement of the Momentum
Relation
131
4.7
Momentum and the Flow of Mass
136
4.8
Rocket Motion
138
4.9
Momentum Flow and Force
143
4.10
Momentum Flux
145
Note
4.1
Center of Mass of Two- and
Three-dimensional Objects
151
Problems
155
ENERGY
161
5.1
Introduction
162
5.2
Integrating Equations of Motion in One Dimension
162
5.3
Work and Energy
166
5.4
The Conservation of Mechanical Energy
179
5.5
Potential Energy 1
82
5.6
What Potential Energy Tells Us about Force
185
CONTENTS
vii
8
5.7
Energy Diagrams
185
5.8
Non-conservative Forces
187
5.9
Energy Conservation and the Ideal Gas Law
189
5.10
Conservation Laws
192
5.11
World Energy Usage
194
Note
5.1
Correction to the Period of a Pendulum
199
Note 5.2 Force, Potential Energy,
and the Vector
Operator V
200
Problems
205
TOPICS IN
DYNAMICS
211
6.1
Introduction
212
6.2
Small Oscillations in a Bound System
212
6.3
Stability
217
6.4
Normal Modes
219
6.5
Collisions and Conservation Laws
225
Problems
233
ANGULAR MOMENTUM AND FIXED AXIS ROTATION
239
7.1
Introduction
240
7.2
Angular Momentum of a Particle
241
7.3
Fixed Axis Rotation
245
7.4
Torque
250
7.5
Torque and Angular Momentum
252
7.6
Dynamics of Fixed Axis Rotation
260
7.7
Pendulum Motion and Fixed Axis Rotation
262
7.8
Motion Involving Translation and Rotation
267
7.9
The Work-Energy Theorem and Rotational
Motion
273
7.10
The Bohr Atom
277
Note
7.1
Chasles Theorem
280
Note
7.2
A Summary of the Dynamics of Fixed Axis
Rotation
282
Problems
282
RIGID BODY MOTION
291
8.1
Introduction
292
8.2
The Vector Nature of Angular Velocity and
Angular Momentum
292
8.3
The Gyroscope
300
8.4
Examples of Rigid Body Motion
304
8.5
Conservation of Angular Momentum
310
8.6
Rigid Body Rotation and the Tensor of Inertia
312
8.7
Advanced Topics in Rigid Body Dynamics
320
Noře
8.1
Finite and Infinitesimal Rotations
329
Note
8.2
More about Gyroscopes
331
Problems
337
viii CONTENTS
9
NON-INERTIAL SYSTEMS
AND FICTITIOUS FORCES
341
9.1
Introduction
342
9.2
Galilean Transformation
342
9.3
Uniformly Accelerating Systems
344
9.4
The Principle of Equivalence
347
9.5
Physics in a Rotating Coordinate System
356
Note
9.1
The Equivalence Principle and the
Gravitational Red Shift
368
Problems
370
10
CENTRAL FORCE MOTION
373
10.1
Introduction
374
10.2
Central Force Motion as a One-body Problem
374
10.3
Universal Features of Central Force Motion
376
10.4
The Energy Equation and Energy Diagrams
379
10.5
Planetary Motion
386
10.6
Some Concluding Comments on Planetary
Motion
402
Noře
10.1
Integrating the Orbit Integral
403
Note
10.2
Properties of the Ellipse
405
Problems
407
11
THE HARMONIC OSCILLATOR
411
11.1
Introduction
412
11.2
Simple Harmonic Motion: Review
412
11.3
The Damped Harmonic Oscillator
414
11.4
The Driven Harmonic Oscillator
421
11.5
Transient Behavior
425
11.6
Response in Time and Response in Frequency
427
Noře
11.1
Complex Numbers
430
Note
11.2
Solving the Equation of Motion for the
Damped Oscillator
431
Note
11.3
Solving the Equation of Motion for the
Driven Harmonic Oscillator
434
Problems
435
12
THE SPECIAL THEORY OF RELATIVITY
439
12.1
Introduction
440
12.2
The Possibility of Flaws in Newtonian Physics
440
12.3
The Michelson-Morfey Experiment
442
12.4
The Special Theory of Relativity
445
12.5
Transformations
447
12.6
Simultaneity and the Order of Events
450
12.7
The
Lorentz
Transformation
451
12.8
Relativistic Kinematics
454
12.9
The Relativistic Addition of Velocities
463
12.10
The
Doppler
Effect
466
CONTENTS ix
13
14
12.11 The Twin Paradox
470
Problems
472
RELATIVISTIC DYNAMICS
477
13.1
Introduction
478
13.2
Reiativistic Momentum
478
13.3 Relativistic Energy
481
13.4
How
Relativistic Energy
and Momentum
are Related
487
13.5
The Photon: A Massless Particle
488
13.6
How Einstein Derived
E
=
mc2
498
Problems
499
SPACETIME
PHYSICS
503
14.1
Introduction
504
14.2
Vector Transformations
504
14.3
World Lines in Spacetime
506
14.4
An Invariant in Spacetime
508
14.5
Four-Vectors
509
14.6
The Energy-Momentum Four-Vector
512
14.7
Epilogue: General Relativity
513
Problems
515
HINTS, CLUES, AND ANSWERS TO SELECTED
PROBLEMS
519
APPENDIX A MISCELLANEOUS PHYSICAL AND
ASTRONOMICAL DATA
527
APPENDIX
В
GREEK ALPHABET
529
APPENDIX
С
SI PREFIXES
531
INDEX
533
This revised and improved Second Edition of Daniel Kleppner and
Robert Kolenkow s classic text introduces first- and second-year
undergraduates to the principles of mechanics.
The numerous worked examples, challenging problems, and extensive
illustrations of the previous edition have been restructured to improve
the flow of ideas.
New features include examples taken from recent developments,
such as laser slowing of atoms, exoplanets and black holes, and a
Hints, Clues, and Answers section for the end-of-chapter problems
to support student learning.
A solutions manual for instructors is available at
www.cambridge.org/kandk.
Cambridge
UNIVERSITY PRESS
www.cambridge.org
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| isbn | 9780521198110 |
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| title | An introduction to mechanics |
| title_auth | An introduction to mechanics |
| title_exact_search | An introduction to mechanics |
| title_full | An introduction to mechanics Daniel Kleppner, Robert Kolenkow |
| title_fullStr | An introduction to mechanics Daniel Kleppner, Robert Kolenkow |
| title_full_unstemmed | An introduction to mechanics Daniel Kleppner, Robert Kolenkow |
| title_short | An introduction to mechanics |
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| topic | Mechanics Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Mechanics Mechanik Einführung |
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