TAILIEUCHUNG - Ebook Arya - Classical mechanics (2nd edition): Part 1

(BQ) Featuring state-of-the-art computer based technology throughout, this comprehensive book on classical mechanics bridges the gap between introductory physics and quantum mechanics, statistical mechanics and optics -- giving readers a strong basis for their work in applied and pure sciences. | Contents Preface vii 1 Introduction to Newtonian Mechanics Introduction 1 Units and Dimensions 2 Newton s Laws and Inertial Systems 5 Inertial and Noninertial Systems Noninertial Forces 7 Simple Applications of Newton s Laws 9 Motion in a Circle and Gravitation 17 Problems 23 Suggestions for Further Reading 27 2 Particle Dynamics in One Dimension Introduction 28 Constant Applied Force F constant 30 Time Dependent Force F F t 31 Velocity Dependent Force F - F v 35 Position Dependent Forces F F x Conservative Forces and Potential Energy 44 Motion under a Linear Restoring Force 49 . Variation of g in a Gravitational Field 51 Problems 54 Suggestions for Further Reading 57 3 Harmonic Oscillators Introduction 58 Linear and Nonlinear Oscillations 58 Linear Harmonic Oscillator 62 Damped Harmonic Oscillator 70 Quality Factor 82 Forced Harmonic Oscillator Driven Oscillator 85 Amplitude Resonance 92 Energy Resonance 98 Rate of Energy Dissipation 99 Problems 100 Suggestions for Further Reading 103 4 Oscillating Systems Introduction 104 Harmonic Oscillators in Electrical Circuits 105 Principle of Superposition and Fourier Series 110 Harmonic Motion and Green s Function 115 Nonlinear Oscillating Systems 122 iv Contents Qualitative Discussion of Motion and Phased Diagrams 127 Problems 134 Suggestions for Further Reading 138 5 Vector Analysis Vector Operators and Transformations Introduction 139 Vector Properties 139 Vector Addition Analytical Treatment 141 Scalar and Vector Products of Vectors 145 Unit Vectors or Base Vectors 151 Directional Cosines 155 Vector Calculus 158 Vector Differential Operators Gradient Divergence and Curl 164 Coordinate Transformations 176 Problems 183 Suggestions for Further Reading 187 6 Motion in Two and Three Dimensions Introduction 188 Different Coordinate Systems 188 Kinematics in Different

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