Lecture notes on Newtonian mechanics: lessons from modern concepts
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2013
|
| Series: | Undergraduate lecture notes in physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | IX, 250 S. graph. Darst. |
| ISBN: | 9781461478249 |
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MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents «
Introduction
................................................... 1
Kinematics
.................................................... 5
2.1
Kinematics of a Particle
..................................... 5
2.2
Motion of a Particle in the Co-moving Basis
.................... 11
2.3
Polar Coordinates in the Plane, Cylindrical and Spherical
in the Space
............................................... 18
2.4
Kinematics of a Rigid Body
.................................. 27
2.5
Transformation Between Reference Systems
.................... 32
Newton s Laws
................................................. 39
3.1
Introductory Remarks
....................................... 39
3.2
Inertia! Frame of Reference: Newton s First Law
................ 40
3.3
Newton s Second Law
...................................... 41
3.4
Brief Classification of Forces in Mechanics
..................... 43
3.5
Applications of Newton s Second Law
......................... 49
3.6
Newton s Third Law
........................................ 57
3.7
Non-inertial Reference Frames and Inertia Forces
............... 62
3.7.1
Accelerated Translational Motion
....................... 63
3.7.2
Uniform Rotational Motion
............................ 67
Appendix
...................................................... 73
Conservation of Momentum
..................................... 81
4.1
Linear Momentum
.......................................... 81
4.2
The Problem of Two Bodies
.................................. 91
Work of a Force and Conservative Forces
......................... 97
5.1
Work of a Force
............................................ 97
5.2
Conservative Forces
........................................ 101
5.2.1
Potential Force
...................................... 102
5.2.2
Solenoidal Force
..................................... 104
Vtl
viii Contents
5.3
Dissipative
Forces..........................................104
Appendix......................................................107
6
Conservation
of Energy
.........................................
Ill
6.1
Particle in a Potential Force Field
.............................
Ill
6.2
Conservation of Energy in Closed Systems
.....................115
6.3
Kinetic Energy in Different Reference Frames
..................118
6.4
Applications of Energy Conservation
..........................120
6.5
Elastic Collisions Between Two Particles
.......................126
7
Movement in a Potential Field: Oscillations
.......................133
7.1
Introductory Remarks
.......................................133
7.2
Unidimensional
Movement in a Fixed Potential
.................134
7.3
Harmonic Oscillator
........................................137
7.4
Damped Oscillations
........................................150
7.5
Forced Oscillations
.........................................153
7.6
Multidimensional Oscillators
.................................157
8
Dynamics of Rotational Movements
.............................163
8.1
Torque and Moment of Inertia
................................163
8.2
Angular Momentum of a System of Particles
....................179
8.3
Conservation of Angular Momentum
..........................183
9
Central Forces and Kepler s Laws
...............................191
9.1
Kepler s Laws
.............................................191
9.2
Precession of Perihelion for a Nearly Circular Orbit
..............203
10
Basic Notions of Hydrodynamics
.................................209
10.1
Introduction
...............................................209
10.2
Pascal s Law
..............................................210
10.3
Continuity Equation
........................................213
10.4
Euler s Equation
...........................................215
10.5
Bernoulli s Equation
........................................218
10.6
Sound Wave Equation
.......................................220
Fundamentals of Vector Analysis
.....................................227
A.
1
Vector Algebra
.............................................227
A.2 Scalar and Vector Fields
.....................................230
A.3 Differential Calculus
........................................233
A.4 Elements of Integral Calculus for Vectors
......................236
A.4.1 Curvilinear Integral of the First Kind
....................236
A.4.2 Curvilinear Integral of Second Kind
....................238
A.5 Surface and Volume Integrals in
3D
Space
.....................240
References
.........................................................247
Index
.............................................................249
Undergraduate Lecture Notes in Physics
llya L. Shapiro
·
Guilherme
de Berredo-Peixoto
Lecture Notes on Newtonian Mechanics
Lessons from Modern Concepts
One could make the claim that all branches of physics are basically generalizations oi
dasska] mechanics. It is also often the first course which is taught to physics students,
lhe
approach of this book is to construct an intermediate discipline between general
courses of physics and analytical mechanics, using more sophisticated mathematical
tools.
1
he aim of this book is to prepare a self-consistent and compact text that is very useful
for teachers as well as for independent stud}1.
|
| any_adam_object | 1 |
| author | Shapiro, Ilya L. Berredo-Peixoto, Guilherme de |
| author_GND | (DE-588)104184493X (DE-588)1042379491 |
| author_facet | Shapiro, Ilya L. Berredo-Peixoto, Guilherme de |
| author_role | aut aut |
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| bvnumber | BV041347804 |
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| classification_rvk | UF 1000 |
| ctrlnum | (OCoLC)861678486 (DE-599)BVBBV041347804 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531 |
| dewey-search | 531 |
| dewey-sort | 3531 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| spelling | Shapiro, Ilya L. Verfasser (DE-588)104184493X aut Lecture notes on Newtonian mechanics lessons from modern concepts Ilya L. Shapiro ; Guilherme de Berredo-Peixoto New York [u.a.] Springer 2013 IX, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate lecture notes in physics Mathematik Mathematics Mechanics Mechanics, applied Physics Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s DE-604 Berredo-Peixoto, Guilherme de Verfasser (DE-588)1042379491 aut Erscheint auch als Online-Ausgabe 978-1-4614-7825-6 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796438&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796438&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Shapiro, Ilya L. Berredo-Peixoto, Guilherme de Lecture notes on Newtonian mechanics lessons from modern concepts Mathematik Mathematics Mechanics Mechanics, applied Physics Theoretische Mechanik (DE-588)4185100-6 gnd |
| subject_GND | (DE-588)4185100-6 |
| title | Lecture notes on Newtonian mechanics lessons from modern concepts |
| title_auth | Lecture notes on Newtonian mechanics lessons from modern concepts |
| title_exact_search | Lecture notes on Newtonian mechanics lessons from modern concepts |
| title_full | Lecture notes on Newtonian mechanics lessons from modern concepts Ilya L. Shapiro ; Guilherme de Berredo-Peixoto |
| title_fullStr | Lecture notes on Newtonian mechanics lessons from modern concepts Ilya L. Shapiro ; Guilherme de Berredo-Peixoto |
| title_full_unstemmed | Lecture notes on Newtonian mechanics lessons from modern concepts Ilya L. Shapiro ; Guilherme de Berredo-Peixoto |
| title_short | Lecture notes on Newtonian mechanics |
| title_sort | lecture notes on newtonian mechanics lessons from modern concepts |
| title_sub | lessons from modern concepts |
| topic | Mathematik Mathematics Mechanics Mechanics, applied Physics Theoretische Mechanik (DE-588)4185100-6 gnd |
| topic_facet | Mathematik Mathematics Mechanics Mechanics, applied Physics Theoretische Mechanik |
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