An introduction to mechanics:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Ausgabe: | 3. printing |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024443373&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=024443373&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XXII, 546 S. graph. Darst. |
| ISBN: | 9780521198219 |
Internformat
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| 245 | 1 | 0 | |a An introduction to mechanics |c Daniel Kleppner ; Robert J. Kolenkow |
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| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2011 | |
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Datensatz im Suchindex
| _version_ | 1819286366122409984 |
|---|---|
| adam_text | CONTENTS
LIST OF EXAMPLES
xi
PREFACE
xv
TO THE TEACHER
xix
1
VECTORS
1.1
INTRODUCTION
2
AND
1.2
VECTORS
2
KINEMATICS Definition of a Vector, The Algebra of Vectors,
3.
—A FEW
1.3
COMPONENTS OF A VECTOR
8
MATHEMATICAL
1.4
BASE VECTORS
10
PRELIMINARIES
1.5
DISPLACEMENT AND THE POSITION VECTOR
11
1.6
VELOCITY AND ACCELERATION
13
Motion in One Dimension,
14;
Motion in Several Dimensions,
14;
A Word about
Dimensions and Units,
18.
1.7
FORMAL SOLUTION OF KINEMATICAL EQUATIONS
9
1.8
MORE ABOUT THE DERIVATIVE OF A VECTOR
23
1.9
MOTION IN PLANE POLAR COORDINATES
27
Polar Coordinates,
27;
Velocity in Polar Coordinates,
27;
Evaluating df/dt,
31;
Acceleration in Polar Coordinates,
36.
Wore
1.1
MATHEMATICAL APPROXIMATION METHODS
39
The Binomial Series,
41;
Taylor s Series,
42;
Differentials,
45.
Some References to Calculus Texts,
47.
PROBLEMS
47
2
NEWTON S
2.1
INTRODUCTION
52
LAWS—THE
2.2
NEWTON S LAWS
53
FOUNDATIONS Newton s First Law,
55;
Newton s Second Law,
56;
Newton s Third Law,
59.
OF
2.3
STANDARDS AND UNITS
64
NEWTONIAN The Fundamental Standards,
64;
Systems of Units,
67.
MECHANICS
2.4
SOME APPLICATIONS OF NEWTON S LAWS
68
2.5
THE EVERYDAY FORCES OF PHYSICS
79
Gravity, Weight, and the Gravitational Field,
80;
The Electrostatic Force,
86;
Contact Forces,
87;
Tension—The Force of a String,
87;
Tension and Atomic
Forces,
91;
The Normal Force,
92;
Friction,
92;
Viscosity,
95;
The Linear Restoring
Force: Hooke s Law, the Spring, and Simple Harmonic Motion,
97.
Wore
2.1
THE GRAVITATIONAL ATTRACTION OF A SPHERICAL
SHELL
101
PROBLEMS
103
3
MOMENTUM
3.1
INTRODUCTION
112
3.2
DYNAMICS OF A SYSTEM OF PARTICLES
113
Center of Mass,
116.
3.3
CONSERVATION OF MOMENTUM
122
Center of Mass Coordinates,
127.
3.4
IMPULSE AND A RESTATEMENT OF THE MOMENTUM
RELATION
130
3.5
MOMENTUM AND THE FLOW OF MASS
133
viii
CONTENTS
3.6
MOMENTUM
TRANSPORT 139
Note 3.1 CENTER
OF MASS
145
PROBLEMS 147
4
WORK
4.1
INTRODUCTION
152
AND
4.2
INTEGRATING THE EQUATION OF MOTION IN ONE
ENERGY DIMENSION
153
4.3
THE WORK-ENERGY THEOREM IN ONE DIMENSION
156
4.4
INTEGRATING THE EQUATION OF MOTION IN SEVERAL
DIMENSIONS
158
4.5
THE WORK-ENERGY THEOREM
160
4.6
APPLYING THE WORK-ENERGY THEOREM
162
4.7
POTENTIAL ENERGY
168
Illustrations of Potential Energy,
170.
4.8
WHAT POTENTIAL ENERGY TELLS US ABOUT FORCE
173
Stability,
174.
4.9
ENERGY DIAGRAMS
176
4.10
SMALL OSCILLATIONS IN A BOUND SYSTEM
178
4.11
NONCONSERVATIVE FORCES
182
4.12
THE GENERAL LAW OF CONSERVATION OF ENERGY
184
4.13
POWER
186
4.14
CONSERVATION LAWS AND PARTICLE COLLISIONS
187
Collisions and Conservation Laws,
188;
Elastic and Inelastic Collisions,
188;
Collisions in One Dimension,
189;
Collisions and Center of Mass Coordinates,
190.
PROBLEMS
194
5
SOME
5.1
INTRODUCTION
202
MATHEMATICAL
5.2
PARTIAL DERIVATIVES
202
ASPECTS
5.3
HOW TO FIND THE FORCE IF YOU KNOW THE POTENTIAL
OF FORCE ENERGY
206
AND
5.4
THE GRADIENT OPERATOR
207
ENERGY
5.5
THE PHYSICAL MEANING OF THE GRADIENT
210
Constant Energy Surfaces and Contour Lines,
211.
5.6
HOW TO FIND OUT IF A FORCE IS CONSERVATIVE
215
5.7
STOKES1 THEOREM
225
PROBLEMS
228
6
ANGULAR
MOMENTUM
AND FIXED AXIS
ROTATION
6.1
INTRODUCTION
232
6.2
ANGULAR MOMENTUM OF A PARTICLE
233
6.3
TORQUE
238
6.4
ANGULAR MOMENTUM AND FIXED AXIS ROTATION
248
6.5
DYNAMICS OF PURE ROTATION ABOUT AN AXIS
253
6.6
THE PHYSICAL PENDULUM
255
The Simple Pendulum,
253;
The Physical Pendulum,
257.
6.7
MOTION INVOLVING BOTH TRANSLATION AND ROTATION
The Work-energy Theorem,
267.
6.8
THE BOHR ATOM
270
Note
6.1
CHASLES THEOREM
274
Note
62
PENDULUM MOTION
276
PROBLEMS
279
260
CONTENTS
IX
7 RIGID
BODY
7.1
INTRODUCTION
288
MOTION 7.2
THE VECTOR NATURE OF ANGULAR VELOCITY AND
AND THE ANGULAR MOMENTUM
288
CONSERVATION
7.3
THE GYROSCOPE
295
OF
7.4
SOME APPLICATIONS OF GYROSCOPE MOTION
300
ANGULAR
7.5
CONSERVATION OF ANGULAR MOMENTUM
305
MOMENTUM
7.6
ANGULAR MOMENTUM OF A ROTATING RIGID BODY
308
Angular Momentum and the Tensor of Inertia,
308;
Principal Axes,
313;
Rotational
Kinetic Energy,
313;
Rotation about a Fixed Point,
315.
7.7
ADVANCED TOPICS IN THE DYNAMICS OF RIGID BODY
ROTATION
316
Introduction,
316;
Torque-free Precession: Why the Earth Wobbles,
317;
Euler s
Equations,
320.
Noře
7.1
FINITE AND INFINITESIMAL ROTATIONS
326
Note
7.2
MORE ABOUT GYROSCOPES
328
Case
1
Uniform Precession,
331;
Case
2
Torque-free Precession,
331;
Case
3
Nutation,
331.
PROBLEMS
334
NONINERTIAL
8.1
SYSTEMS
8.2
AND
8.3
FICTITIOUS
8.4
FORCES
8.5
INTRODUCTION
340
THE GALILEAN TRANSFORMATIONS
340
UNIFORMLY ACCELERATING SYSTEMS
343
THE PRINCIPLE OF EQUIVALENCE
346
PHYSICS IN A ROTATING COORDINATE SYSTEM
355
Time Derivatives and Rotating Coordinates,
356;
Acceleration Relative to Rotating
Coordinates,
358;
The Apparent Force in a Rotating Coordinate System,
359.
Note
8.1
THE EQUIVALENCE PRINCIPLE AND THE
GRAVITATIONAL RED SHIFT
369
NoteS.Z ROTATING COORDINATE TRANSFORMATION
371
PROBLEMS
372
CENTRAL
9.1
INTRODUCTION
378
FORCE
9.2
CENTRAL FORCE MOTION AS A ONE BODY PROBLEM
378
MOTION
9.3
GENERAL PROPERTIES OF CENTRAL FORCE MOTION
380
The Motion Is Confined to a Plane,
380;
The Energy and Angular Momentum Are
Constants of the Motion,
380;
The Law of Equal Areas,
382.
9.4
FINDING THE MOTION IN REAL PROBLEMS
382
9.5
THE ENERGY EQUATION AND ENERGY DIAGRAMS
383
9.6
PLANETARY MOTION
390
9.7
KEPLER S LAWS
400
Note
9.1
PROPERTIES OF THE ELLIPSE
403
PROBLEMS
406
10
THE
10.1
INTRODUCTION AND REVIEW
410
HARMONIC Standard Form of the Solution,
410;
Nomenclature,
411;
Energy Considerations,
OSCILLATOR
412;
Time Average Values,
413;
Average Energy,
413.
10.2
THE DAMPED HARMONIC OSCILLATOR
414
Energy,
416;
The
Q
of an Oscillator,
418.
CONTENTS
10.3
THE FORCED HARMONIC OSCILLATOR
421
The Undamped Forced Oscillator,
421;
Resonance,
423;
The Forced Damped
Harmonic Oscillator,
424;
Resonance in a Lightly Damped System: The Quality
Factor Q,
426.
10.4
RESPONSE IN TIME VERSUS RESPONSE IN FREQUENCY
432
Wore
10.1
SOLUTION OF THE EQUATION OF MOTION FOR THE
UNDRIVEN DAMPED OSCILLATOR
433
The Use of Complex Variables,
433;
The Damped Oscillator,
435.
Note
10.2
SOLUTION OF THE EQUATION OF MOTION FOR THE
FORCED OSCILLATOR
437
PROBLEMS
438
U
THE
11.1
THE NEED FOR A NEW MODE OF THOUGHT
442
SPECIAL
11.2
THE MICHELSON-MORLEY EXPERIMENT
445
THEORY
11.3
THE POSTULATES OF SPECIAL RELATIVITY
450
OF The Universal Velocity,
451;
The Principle of Relativity,
451;
The Postulates of
RELATIVITY Spec/a/ Relativity,
452.
11.4
THE GALILEAN TRANSFORMATIONS
453
11.5
THE
LORENTZ
TRANSFORMATIONS
455
PROBLEMS
459
12
RELATIVISTA
KINEMATICS
12.1
INTRODUCTION
462
12.2
SIMULTANEITY AND THE ORDER OF EVENTS
463
12.3
THE
LORENTZ
CONTRACTION AND TIME DILATION
466
The
Lorentz
Contraction,
466;
Time Dilation,
468.
12.4
THE RELATIVISTIC TRANSFORMATION OF VELOCITY
472
12.5
THE
DOPPLER
EFFECT
475
The
Doppler
Shift in Sound,
475;
Relativistic
Doppler
Effect,
477;
The
Doppler
Effect for an Observer off the Line of Motion,
478.
12.6
THE TWIN PARADOX
480
PROBLEMS
484
13
RELATIVISTIC
MOMENTUM
AND
ENERGY
13.1
MOMENTUM
490
13.2
ENERGY
493
13.3
MASSLESS PARTICLES
500
13.4
DOES LIGHT TRAVEL AT THE VELOCITY OF LIGHT?
508
PROBLEMS
512
14
FOUR-
14.1
INTRODUCTION
516
VECTORS
14.2
VECTORS AND TRANSFORMATIONS
516
AND Rotation about the
z
Axis,
517;
Invariants of a Transformation,
520;
The Trans-
RELATIVISTIC formation Properties of Physical Laws,
520;
Scalar Invariants,
521.
INVARIANCE
14.3
MINIKOWSKI SPACE AND FOUR-VECTORS
521
14.4
THE MOMENTUM-ENERGY FOUR-VECTOR
527
14.5
CONCLUDING REMARKS
534
PROBLEMS
536
INDEX
539
An Introduction to Mechanics
In the years since it was first published, this classic introductory textbook
has established itself as one of best-known and most highly regarded
descriptions of Newtonian mechanics.
Intended for undergraduate students with foundation skills in mathemat¬
ics and a deep interest in physics, it systematically lays out the principles of
mechanics: vectors, Newton s laws, momentum, energy, rotational motion,
angular momentum, and noninertial systems, and includes chapters on
central force motion, the harmonic oscillator, and relativity.
Numerous worked examples demonstrate how the principles can be
applied to a wide range of physical situations, and more than
600
figures
illustrate methods for approaching physical problems. The book also con¬
tains over
200
challenging problems to help the student develop a strong
understanding of the subject. Password-protected solutions are available
for instructors at www.cambridge.org/9780521198219.
Daniel Kleppner is Lester Wolfe Professor of Physics, Emeritus, at
Massachusetts Institute of Technology. For his contributions to teaching,
he has been awarded the Oersted Medal by the American Association of
Physics Teachers and the
Lilienfeld
Prize of the American Physical Society.
He has also received the Wolf Prize and the National Medal of Science.
Robert Kolenkow was Associate Professor of Physics at Massa¬
chusetts Institute of Technology. Renowned for his skills as a teacher,
Kolenkow was awarded the Everett Moore Baker Award for Outstanding
Teaching. He has since retired.
|
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| bvnumber | BV039592298 |
| classification_rvk | UF 1000 |
| ctrlnum | (OCoLC)756346426 (DE-599)BVBBV039592298 |
| discipline | Physik |
| edition | 3. printing |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV039592298 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T15:58:03Z |
| institution | BVB |
| isbn | 9780521198219 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024443373 |
| oclc_num | 756346426 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XXII, 546 S. graph. Darst. |
| publishDate | 2011 |
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| spellingShingle | Kleppner, Daniel Kolenkow, Robert J. An introduction to mechanics Mechanics Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4123623-3 |
| 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 J. Kolenkow |
| title_fullStr | An introduction to mechanics Daniel Kleppner ; Robert J. Kolenkow |
| title_full_unstemmed | An introduction to mechanics Daniel Kleppner ; Robert J. Kolenkow |
| title_short | An introduction to mechanics |
| title_sort | an introduction to mechanics |
| topic | Mechanics Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Mechanics Mechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024443373&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=024443373&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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