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| Preface to Second Edition | |
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| Preface to First Edition | |
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| Newton'sLaws | |
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| What is Mechanics? | |
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| Mechanics as a Scientific Theory | |
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| Newtonian vs. Einsteinian Mechanics | |
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| Newton's Laws | |
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| A Deeper Look at Newton's Laws | |
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| Inertial Frames | |
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| Newton's Laws in Noninertial Frames | |
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| Switching Off Gravity | |
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| Finale - Laws, Postulates or Definitions? | |
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| Summary | |
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| Problems | |
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| One-dimensional Motion | |
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| Rationale for One-dimensional Analysis | |
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| The Concept of a Particle | |
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| Motion with a Constant Force | |
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| Work and Energy | |
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| Impulse and Power | |
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| Motion with a Position-dependent Force | |
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| The Nature of Energy | |
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| Potential Functions | |
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| Equilibria | |
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| Motion Close to a Stable Equilibrium | |
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| The Stability of the Universe | |
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| Trajectory of a Body Falling a Large Distance Under Gravity | |
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| Motion with a Velocity-dependent Force | |
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| Summary | |
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| Problems | |
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| Oscillatory Motion | |
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| Introduction | |
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| Prototype Harmonic Oscillator | |
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| Differential Equations | |
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| General Solution for Simple Harmonic Motion | |
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| Energy in Simple Harmonic Motion | |
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| Damped Oscillations | |
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| Light Damping - the Q Factor | |
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| Heavy Damping and Critical Damping | |
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| Forced Oscillations | |
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| Complex Number Method | |
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| Electrical Analogue | |
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| Power in Forced Oscillations | |
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| Coupled Oscillations | |
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| Summary | |
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| Problems | |
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| Two-body Dynamics | |
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| Rationale | |
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| Centre of Mass | |
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| Internal Motion: Reduced Mass | |
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| Collisions | |
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| Elastic Collisions | |
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| Inelastic Collisions | |
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| Centre-of-mass Frame | |
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| Rocket Motion | |
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| Launch Vehicles | |
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| Summary | |
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| Problems | |
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| Relativity 1: Space and Time | |
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| Why Relativity? | |
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| Galilean Relativity | |
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| The Fundamental Postulates of Relativity | |
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| Inertial Observers in Relativity | |
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| Comparing Transverse Distances Between Frames | |
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| Lessons from a Light Clock: Time Dilation | |
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| Proper Time | |
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| Interval Invariance | |
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| The Relativity of Simultaneity | |
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| The Relativity of Length: Length Contraction | |
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| The Lorentz Transformations | |
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| Velocity Addition | |
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| Particles Moving Faster than Light: Tachyons | |
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| Summary | |
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| Problems | |
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| Relativity 2: Energy and Momentum | |
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| Energy and Momentum | |
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| The Meaning of Rest Energy | |
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| Relativistic Collisions and Decays | |
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| Photons | |
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| Units in High-energy Physics | |
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| Energy/Momentum Transformations Between Frames | |
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| Relativistic Doppler Effect | |
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| Summary | |
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| Problems | |
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| Gravitational Orbits | |
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| Introduction | |
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| Work in Three Dimensions | |
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| Torque and Angular Momentum | |
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| Central Forces | |
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| Gravitational Orbits | |
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| Kepler's Laws | |
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| Comments | |
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| Summary | |
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| Problems | |
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| Rigid Body Dynamics | |
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| Introduction | |
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| Torque and Angular Momentum for Systems of Particles | |
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| Centre of Mass of Systems of Particles and Rigid Bodies | |
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| Angular Momentum of Rigid Bodies | |
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| Kinetic Energy of Rigid Bodies | |
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| Bats, Cats, Pendula and Gyroscopes | |
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| General Rotation About a Fixed Axis | |
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| Principal Axes | |
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| Examples of Principal Axes and Principal Moments of Inertia | |
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| Kinetic Energy of a Body Rotating About a Fixed Axis | |
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| Summary | |
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| Problems | |
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| Rotating Frames | |
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| Introduction | |
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| Experiments on Roundabouts | |
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| General Prescription for Rotating Frames | |
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| The Centrifugal Term | |
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| The Coriolis Term | |
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| The Foucault Pendulum | |
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| Free Rotation of a Rigid Body - Tennis Rackets and Matchboxes | |
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| Final Thoughts | |
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| Summary | |
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| Problems | |
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| Vectors, Matrices and Eigenvalues | |
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| The Scalar (Dot) Product | |
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| The Vector (Cross) Product | |
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| The Vector Triple Product | |
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| Multiplying a Vector by a Matrix | |
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| Calculating the Determinant of a 3 � 3 Matrix | |
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| Eigenvectors and Eigenvalues | |
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| Diagonalising Symmetric Matrices | |
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| Answers to Problems | |
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| Bibliography | |
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| Index | |