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Titre : Classical Mechanics : A Professor–student Collaboration Type de document : document électronique Auteurs : Mario Campanelli Editeur : london:IOP Publishing Année de publication : 2020 Importance : 1 vol (24-2 p.) ISBN/ISSN/EAN : 978-0-7503-2689-6 Langues : Français (fre) Catégories : Bibliothèque numérique:Physique Mots-clés : Mechanics:Textbooks
Physics:TextbooksIndex. décimale : 530-Physique Résumé :
Classical Mechanics: A professor–student collaboration is a textbook tailored for undergraduate physics students embarking on a first-year module in Newtonian mechanics. This book was written as a unique collaboration between Mario Campanelli and students that attended his course in classical mechanics at University College London. Taking his lecture notes as a starting point, and reflecting on their own experiences studying the material, the students worked together with Campanelli to produce a comprehensive course text that covers a familiar topic from a new perspective.All the fundamental topics are included, starting with an overview of the core mathematics and then moving on to statics, kinematics, dynamics and non-inertial frames, as well as fluid mechanics, which is often overlooked in standard university courses. Clear explanations and step-by-step examples are provided throughout to break down complicated ideas that can be taken for granted in other standard texts, giving students the expertise to confidently tackle their university tests and fully grasp important concepts that underpin all physics and engineering courses. Key Features Written in collaboration with students, offering a revolutionary method of delivering knowledge between peers Based on the lectures of UCL professor Mario Campanelli, who has 25 years of teaching experience Clearly explains the physical concepts and the mathematical background behind classical mechanics Exercises in each chapter allow students to test their understanding of the conceptsNote de contenu :
Contents
Preface xii
1 Mathematical preliminaries 1-1
1.0 Introduction 1-1
1.1 Vectors 1-1
1.2 Complex numbers 1-14
1.3 Calculus 1-16
1.4 Differential equations 1-29
2 Newton’s laws 2-1
2.0 Introduction 2-1
2.1 Newton’s laws of motion 2-1
2.2 The concept of force 2-5
2.3 Motion under a constant force 2-15
2.4.1 Projectiles without air resistance 2-27
2.5 Momentum and impulse 2-33
2.6 Conservation of momentum for isolated systems 2-34
3 Kinematic relations 3-1
3.0 Introduction: what is energy? 3-1
3.1 Work and energy 3-1
3.2 Relationship between work and kinetic energy 3-5
3.3 Power 3-6
3.4 Potential energy and conservative forces 3-8
4 Oscillatory motion 4-1
4.0 Introduction 4-1
4.1 Simple harmonic motion 4-1
4.1.1 Energy of simple harmonic motion 4-7
4.2 Damped harmonic motion 4-9
4.3 Driven and damped harmonic motion 4-13
4.4 Coupled oscillators 4-23
5 Angular momentum and central forces 5-1
5.0 Introduction 5-1
5.1 Polar coordinates 5-1
5.2 Circular motion 5-4
5.3 Angular momentum 5-6
Classical Mechanics
5.4 Central forces 5-8
5.4.1 Potential energy for central forces 5-11
6 Centre of mass and collisions 6-1
6.0 Introduction 6-1
6.1 The centre of mass 6-1
6.2 Collisions 6-9
7 Orbits 7-1
7.0 Introduction: a historical note 7-1
7.1 Orbital forces 7-2
7.1.1 Potentials 7-3
7.2 Circular motion approximation 7-4
7.3 Motion under the inverse square law of force 7-6
7.4 Orbits under an attractive force: elliptical orbits and Kepler’s laws 7-11
7.5 Orbits with positive energy: unbound orbits 7-18
7.6 Reduced mass and the two-body problem 7-20
7.7 Variable mass problems 7-23
8 Rigid bodies 8-1
8.0 Introduction 8-1
8.1 Preliminaries 8-1
8.2 Centre of mass 8-4
8.3 Flat object in x–y plane 8-6
8.4 General motion of a non-planar object in 3D space 8-20
9 Accelerating frames of reference 9-1
9.0 Accelerating reference frames 9-1
9.1 Fictitious forces 9-6
10 Fluid mechanics 10-1
10.0 Introduction 10-1
10.1 Hydrostatics 10-2
10.2 Hydrodynamics—fluids in motion 10-5
11 Solutions to Chapter 1: Mathematical preliminaries 11-1
12 Solutions to Chapter 2: Newton’s laws 12-1
13 Selected solutions to Chapter 3: Kinematic relations 13-1
14 Selected solutions to Chapter 4: Oscillatory motion 14-1
15 Selected solutions to Chapter 5: Angular momentum and central forces 15-1
16 Solutions to Chapter 6: Centre of mass and collisions 16-1
17 Solutions to Chapter 7: Orbits 17-1
18 Selected solutions to Chapter 8: Rigid bodies 18-1
19 Selected solutions to Chapter 9: Accelerating frames of reference 19-1
20 Solutions to Chapter 10: Fluid mechanics 20-1
Appendices
Appendix A A-1
Appendix B B-1
Appendix C
Côte titre : E-Fs/0020 En ligne : https://sciences-courses.univ-setif.dz/login/index.php Classical Mechanics : A Professor–student Collaboration [document électronique] / Mario Campanelli . - [S.l.] : london:IOP Publishing, 2020 . - 1 vol (24-2 p.).
ISBN : 978-0-7503-2689-6
Langues : Français (fre)
Catégories : Bibliothèque numérique:Physique Mots-clés : Mechanics:Textbooks
Physics:TextbooksIndex. décimale : 530-Physique Résumé :
Classical Mechanics: A professor–student collaboration is a textbook tailored for undergraduate physics students embarking on a first-year module in Newtonian mechanics. This book was written as a unique collaboration between Mario Campanelli and students that attended his course in classical mechanics at University College London. Taking his lecture notes as a starting point, and reflecting on their own experiences studying the material, the students worked together with Campanelli to produce a comprehensive course text that covers a familiar topic from a new perspective.All the fundamental topics are included, starting with an overview of the core mathematics and then moving on to statics, kinematics, dynamics and non-inertial frames, as well as fluid mechanics, which is often overlooked in standard university courses. Clear explanations and step-by-step examples are provided throughout to break down complicated ideas that can be taken for granted in other standard texts, giving students the expertise to confidently tackle their university tests and fully grasp important concepts that underpin all physics and engineering courses. Key Features Written in collaboration with students, offering a revolutionary method of delivering knowledge between peers Based on the lectures of UCL professor Mario Campanelli, who has 25 years of teaching experience Clearly explains the physical concepts and the mathematical background behind classical mechanics Exercises in each chapter allow students to test their understanding of the conceptsNote de contenu :
Contents
Preface xii
1 Mathematical preliminaries 1-1
1.0 Introduction 1-1
1.1 Vectors 1-1
1.2 Complex numbers 1-14
1.3 Calculus 1-16
1.4 Differential equations 1-29
2 Newton’s laws 2-1
2.0 Introduction 2-1
2.1 Newton’s laws of motion 2-1
2.2 The concept of force 2-5
2.3 Motion under a constant force 2-15
2.4.1 Projectiles without air resistance 2-27
2.5 Momentum and impulse 2-33
2.6 Conservation of momentum for isolated systems 2-34
3 Kinematic relations 3-1
3.0 Introduction: what is energy? 3-1
3.1 Work and energy 3-1
3.2 Relationship between work and kinetic energy 3-5
3.3 Power 3-6
3.4 Potential energy and conservative forces 3-8
4 Oscillatory motion 4-1
4.0 Introduction 4-1
4.1 Simple harmonic motion 4-1
4.1.1 Energy of simple harmonic motion 4-7
4.2 Damped harmonic motion 4-9
4.3 Driven and damped harmonic motion 4-13
4.4 Coupled oscillators 4-23
5 Angular momentum and central forces 5-1
5.0 Introduction 5-1
5.1 Polar coordinates 5-1
5.2 Circular motion 5-4
5.3 Angular momentum 5-6
Classical Mechanics
5.4 Central forces 5-8
5.4.1 Potential energy for central forces 5-11
6 Centre of mass and collisions 6-1
6.0 Introduction 6-1
6.1 The centre of mass 6-1
6.2 Collisions 6-9
7 Orbits 7-1
7.0 Introduction: a historical note 7-1
7.1 Orbital forces 7-2
7.1.1 Potentials 7-3
7.2 Circular motion approximation 7-4
7.3 Motion under the inverse square law of force 7-6
7.4 Orbits under an attractive force: elliptical orbits and Kepler’s laws 7-11
7.5 Orbits with positive energy: unbound orbits 7-18
7.6 Reduced mass and the two-body problem 7-20
7.7 Variable mass problems 7-23
8 Rigid bodies 8-1
8.0 Introduction 8-1
8.1 Preliminaries 8-1
8.2 Centre of mass 8-4
8.3 Flat object in x–y plane 8-6
8.4 General motion of a non-planar object in 3D space 8-20
9 Accelerating frames of reference 9-1
9.0 Accelerating reference frames 9-1
9.1 Fictitious forces 9-6
10 Fluid mechanics 10-1
10.0 Introduction 10-1
10.1 Hydrostatics 10-2
10.2 Hydrodynamics—fluids in motion 10-5
11 Solutions to Chapter 1: Mathematical preliminaries 11-1
12 Solutions to Chapter 2: Newton’s laws 12-1
13 Selected solutions to Chapter 3: Kinematic relations 13-1
14 Selected solutions to Chapter 4: Oscillatory motion 14-1
15 Selected solutions to Chapter 5: Angular momentum and central forces 15-1
16 Solutions to Chapter 6: Centre of mass and collisions 16-1
17 Solutions to Chapter 7: Orbits 17-1
18 Selected solutions to Chapter 8: Rigid bodies 18-1
19 Selected solutions to Chapter 9: Accelerating frames of reference 19-1
20 Solutions to Chapter 10: Fluid mechanics 20-1
Appendices
Appendix A A-1
Appendix B B-1
Appendix C
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