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Competitive Physics: Mechanics And Waves (General Physics All Aspects) PDF

Competitive Physics: Mechanics And Waves (General Physics All Aspects)

Jinhui Wang, Bernard Ricardo Widjaja
descripción
Written by a former Olympiad student, Wang Jinhui, and a Physics Olympiad national trainer, Bernard Ricardo, Competitive Physics delves into the art of solving challenging physics puzzles. This book not only expounds a multitude of physics topics from the basics but also illustrates how these theories can be applied to problems, often in an elegant fashion. With worked examples that depict various problem-solving sleights of hand and interesting exercises to enhance the mastery of such techniques, readers will hopefully be able to develop their own insights and be better prepared for physics competitions. Ultimately, problem-solving is a craft that requires much intuition. Yet, this intuition can only be honed by mentally trudging through an arduous but fulfilling journey of enigmas.Mechanics and Waves is the first of a two-part series which will discuss general problem-solving methods, such as exploiting the symmetries of a system, to set a firm foundation for other topics.
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lgrsnf/Competitive Physics 9789813233942.pdf
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lgli/Competitive Physics 9789813233942.pdf
Nombre de archivo alternativo
nexusstc/Competitive Physics/05c2e71a8c5f989a33d62a04f5092b87.pdf
Autor alternativo
[by Physics olympiad medalists and trainers] Jinhui Wang, Bernard Ricardo
Autor alternativo
Wang Jinhui
Edición alternativa
World Scientific Publishing Company, Singapore, 2018
Edición alternativa
Singapore Hackensack NJ, 2018
Edición alternativa
2018-05-23
Edición alternativa
1, 2018
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Descripción alternativa
Dedication 6
Preface 8
Contents 12
1 Minimalistic Arguments 16
1.1 Dimensional Analysis 16
1.2 Limiting Cases 20
1.3 Physical Principles 21
Problems 26
Solutions 30
2 Infinitesimal Elements 40
2.1 One-Dimensional Elements 40
2.2 Two-Dimensional Elements 46
2.3 Three-Dimensional Elements 53
Problems 56
Solutions 58
3 Kinematics 66
3.1 Vectors 66
3.2 Kinematic Quantities 75
3.3 Constant Acceleration 80
3.4 Polar Coordinates 87
3.5 Kinematics of a Rigid Body 94
3.6 Univariate Differential Equations 114
Problems 121
Solutions 128
4 Translational Dynamics 152
4.1 Linear Momentum 152
4.2 Newton’s Three Laws 152
4.3 Net External Force on a System of Particles 154
4.4 Equations of Motion in Different Coordinates 163
4.5 Typical Forces in Mechanics 164
4.6 Types of Problems 168
4.7 Systems with Variable Amounts of Moving Mass 189
Problems 197
Solutions 207
5 Rotational Dynamics 234
5.1 Angular Momentum and Torque 234
5.2 Moment of Inertia 243
5.3 Applying 254
Problems 262
Solutions 268
6 Energy and Momentum 290
6.1 Linear Momentum 290
6.2 Angular Momentum 291
6.3 Work and Energy 295
6.4 Deriving the Equation of Motion from Energy 312
6.5 Galilean Transformations and Center of Mass Frame 314
6.6 Collisions 318
6.7 Varying Amounts of Moving Mass 330
Problems 336
Solutions 344
7 Statics 378
7.1 Equilibrium 378
7.2 Connected Components 388
7.3 Friction 392
7.4 Strings under Distributed Force 400
7.5 Statically Indeterminate Situations 404
7.6 Virtual Work 408
Problems 421
Solutions 428
8 Orbital Mechanics 446
8.1 Newton’s Law of Gravitation 446
8.2 Trajectory under Gravity 449
8.3 Conic Sections 452
8.4 Kepler’s Three Laws 461
8.5 Two-Body Problem 463
8.6 Mass Distributions 466
Problems 471
Solutions 474
9 Fluids 484
9.1 Properties of a Fluid 484
9.2 Fluid Statics 486
9.3 Surface Tension 490
9.4 Fluid Dynamics 509
Problems 514
Solutions 520
10 Oscillations 536
10.1 Simple Harmonic Motion 536
10.2 Deriving Angular Frequency from Potential Energy 544
10.3 Damped Oscillations 547
10.4 Coupled Oscillations 557
Problems 567
Solutions 572
11 Non-Inertial Frames 592
11.1 Purely Accelerating Frame 592
11.2 Accelerating and Rotating Frame 601
11.3 Centrifugal Force 604
11.4 Coriolis Force 611
Problems 621
Solutions 625
12 Lagrangian Mechanics 638
12.1 Action and Hamilton’s Principle 638
12.2 Calculus of Variations 639
12.3 Equations of Motion 642
12.4 Systems with Constraints 649
12.5 Conserved Quantities and Symmetry* 657
Problems 665
Solutions 671
13 Waves 696
13.1 Introduction 696
13.2 The Wave Equation 702
13.3 One-Dimensional Waves at a Boundary 718
13.4 Other Effects 731
Problems 738
Solutions 743
14 Interference 760
14.1 The Principle of Superposition 760
14.2 Standing Waves 797
14.3 Beats 807
Problems 809
Solutions 813
Bibliography 826
Index 828
Competitive,Physics
Descripción alternativa
Intro
Contents
Dedication
Preface
1 Minimalistic Arguments
1.1 Dimensional Analysis
1.1.1 Limitations
1.2 Limiting Cases
1.3 Physical Principles
1.3.1 Scaling Arguments
1.3.2 Symmetry
1.3.3 Equivalent Frames
1.3.4 Reversibility
Problems
Solutions
2 Infinitesimal Elements
2.1 One-Dimensional Elements
2.2 Two-Dimensional Elements
2.3 Three-Dimensional Elements
Problems
Solutions
3 Kinematics
3.1 Vectors
3.1.1 Vector Algebra
3.2 Kinematic Quantities
3.3 Constant Acceleration
3.3.1 Projectile Motion with Drag
3.4 Polar Coordinates
3.4.1 Uniform Circular Motion. 3.4.2 Circular Motion with Tangential Acceleration3.5 Kinematics of a Rigid Body
3.5.1 Angular Speed and Velocity
3.5.2 Rolling
3.5.3 Constrained Motion
3.6 Univariate Differential Equations
3.6.1 Separable Differential Equations
3.6.2 Making Equations Separable
Problems
Solutions
4 Translational Dynamics
4.1 Linear Momentum
4.2 Newton's Three Laws
4.2.1 The First Law and Inertial Frames
4.2.2 The Second Law
4.2.3 The Third Law
4.3 Net External Force on a System of Particles
4.3.1 Center of Mass
4.4 Equations of Motion in Different Coordinates. 4.4.1 Cartesian Coordinate System4.4.2 Polar Coordinate System
4.5 Typical Forces in Mechanics
4.5.1 Normal Force
4.5.2 Friction
4.5.3 Spring Force
4.5.4 Tension
4.5.5 Gravitational Force
4.6 Types of Problems
4.6.1 Free-Body Diagrams
4.6.2 No Constraints
4.6.3 Conservation of String
4.6.4 Remaining on an Inclined Plane
4.6.5 Polar Coordinates
4.6.6 Rigid Body Constraint
4.7 Systems with Variable Amounts of Moving Mass
Problems
Solutions
5 Rotational Dynamics
5.1 Angular Momentum and Torque
5.1.1 Rigid Body about Stationary Axis
5.1.2 Rigid Body about General Axis. 6.6 Collisions6.6.1 Elastic Collisions
6.6.2 Inelastic Collisions
6.6.3 Collisions with a Rigid Body
6.7 Varying Amounts of Moving Mass
Problems
Solutions
7 Statics
7.1 Equilibrium
7.2 Connected Components
7.3 Friction
7.4 Strings under Distributed Force
7.5 Statically Indeterminate Situations
7.6 Virtual Work
7.6.1 The Principle of Virtual Work
7.6.2 Potential Energy
7.6.3 Stability of Equilibrium
Problems
Solutions
8 Orbital Mechanics
8.1 Newton's Law of Gravitation
8.1.1 Conserved Quantities in Planetary Motion
8.2 Trajectory under Gravity
8.3 Conic Sections.
Descripción alternativa
"Mechanics and Waves is the first of a two-part series which will discuss general problem-solving methods, such as the exploiting of symmetries in a system, setting a firm foundation for other topics. This book is meant for high school students with an interest in the art of physics problem-solving, and/or readers interested to delve into the thought process of solving high school Physics Olympiad problems"-- Provided by publisher
fecha de lanzamiento en Anna's Archive
2019-11-17
Idioma: inglés
Tipo de archivo: pdf, 14.4 MB
Editor: World Scientific Publishing Co. Pte. Ltd
Año de publicación: 2019

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« Like its predecessor, 200 Puzzling Physics Problems, this book is aimed at strengthening students' grasp of the laws of physics by applying them to situations that are practical, and to problems that yield more easily to intuitive insight than to brute-force methods and complex mathematics. The problems are chosen almost exclusively from classical, non-quantum physics, but are no easier for that. They are intriguingly posed in accessible non-technical language, and require readers to select an appropriate analysis framework and decide which branches of physics are involved. The general level of sophistication needed is that of the exceptional school student, the good undergraduate, or the competent graduate student; some physics professors may find some of the more difficult questions challenging. By contrast, the mathematical demands are relatively minimal, and seldom go beyond elementary calculus. This further book of physics problems is not only instructive and challenging, but also enjoyable. »-- Résumé de l'éditeur

pdf · inglés · 2016 · 12.2 MB
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200 more puzzling physics problems

Gnadig P., Honyek G., Vigh M

lgli/K:\!genesis\0day\kolxoz\81\P_Physics\PG_General courses\Gnadig P., Honyek G., Vigh M. 200 more puzzling physics problems (CUP, 2016)(564s)_PG_.pdf

pdf · inglés · 2016 · 12.1 MB
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Instructor Solutions Manual for Physics Volume 1 by Halliday Resnick Krane

David Halliday, Robert Resnick, Kenneth Krane, Paul Stanley

lgrsnf/Halliday, Resnick, Krane - Solution Manual for Physics, Volume 1.pdf

pdf · inglés · 2005 · 1.5 MB
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