Preface to the Expanded Edition |
Preface to the First Edition |
The Structure of Mechanics / 1: |
Introduction and some useful tips / 1.1: |
Kinematics and dynamics / 1.2: |
Average and instantaneous quantities / 1.3: |
Motion at constant acceleration / 1.4: |
Sample problem / 1.5: |
Deriving v2 - v20 = 2a(x - x0) using calculus / 1.6: |
Motion in Higher Dimensions / 2: |
Review / 2.1: |
Vectors in d = 2 / 2.2: |
Unit vectors / 2.3: |
Choice of axes and basis vectors / 2.4: |
Derivatives of the position vector r / 2.5: |
Application to circular motion / 2.6: |
Projectile motion / 2.7: |
Newton's Laws I / 3: |
Introduction to Newton's laws of motion / 3.1: |
Newton's second law / 3.2: |
Two halves of the second law / 3.3: |
Newton's third law / 3.4: |
Weight and weightlessness / 3.5: |
Newton's Laws II / 4: |
A solved example / 4.1: |
Never the whole story / 4.2: |
Motion in d = 2 / 4.3: |
Friction: static and kinetic / 4.4: |
Inclined plane / 4.5: |
Coupled masses / 4.6: |
Circular motion, loop-the-loop / 4.7: |
Law of Conservation of Energy / 5: |
Introduction to energy / 5.1: |
The work-energy theorem and power / 5.2: |
Conservation of energy: K2 + U2 = K1 + U1\ / 5.3: |
Friction and the work-energy theorem / 5.4: |
Conservation of Energy in d = 2 / 6: |
Calculus review / 6.1: |
Work done in d = 2 / 6.2: |
Work done in d = 2 and the dot product / 6.3: |
Conservative and non-conservative forces / 6.4: |
Conservative forces / 6.5: |
Application to gravitational potential energy / 6.6: |
The Kepler Problem / 7: |
Kepler's laws / 7.1: |
The law of universal gravity / 7.2: |
Details of the orbits / 7.3: |
Law of conservation of energy far from the earth / 7.4: |
Choosing the constant in U / 7.5: |
Multi-particle Dynamics / 8: |
The two-body problem / 8.1: |
The center of mass / 8.2: |
Law of conservation of momentum / 8.3: |
Rocket science / 8.4: |
Elastic and inelastic collisions / 8.5: |
Scattering in higher dimensions / 8.6: |
Rotational Dynamics I / 9: |
Introduction to rigid bodies / 9.1: |
Angle of rotation, the radian / 9.2: |
Rotation at constant angular acceleration / 9.3: |
Rotational inertia, momentum, and energy / 9.4: |
Torque and the work-energy theorem / 9.5: |
Calculating the moment of inertia / 9.6: |
Rotational Dynamics II / 10: |
The parallel axis theorem / 10.1: |
Kinetic energy for a general N-body system / 10.2: |
Simultaneous translations and rotations / 10.3: |
Conservation of energy / 10.4: |
Rotational dynamics using ¿ = $$$ / 10.5: |
Advanced rotations / 10.6: |
Conservation of angular momentum / 10.7: |
Angular momentum of the figure skater / 10.8: |
Rotational Dynamics III / 11: |
Static equilibrium / 11.1: |
The seesaw / 11.2: |
A hanging sign / 11.3: |
The leaning ladder / 11.4: |
Rigid-body dynamics in 3d / 11.5: |
The gyroscope / 11.6: |
Special Relativity I: The Lorentz Transformation / 12: |
Galilean and Newtonian relativity / 12.1: |
Proof of Galilean relativity / 12.2: |
Enter Einstein / 12.3: |
The postulates / 12.4: |
The Lorentz transformation / 12.5: |
Special Relativity II: Some Consequences / 13: |
Summary of the Lorentz transformation / 13.1: |
The velocity transformation law / 13.2: |
Relativity of simultaneity / 13.3: |
Time dilatation / 13.4: |
Twin paradox / 13.4.1: |
Length contraction / 13.4.2: |
More paradoxes / 13.5: |
Too big to fall / 13.5.1: |
Muons in flight / 13.5.2: |
Special Relativity III: Past, Present, and Future / 14: |
Past, present, and future in relativity / 14.1: |
Geometry of spacetime / 14.2: |
Rapidity / 14.3: |
Four-vectors / 14.4: |
Proper time / 14.5: |
Four-momentum / 15: |
Relativistic scattering / 15.1: |
Compton effect / 15.1.1: |
Pair production / 15.1.2: |
Photon absorption / 15.1.3: |
Mathematical Methods / 16: |
Taylor series of a function / 16.1: |
Examples and issues with the Taylor series / 16.2: |
Taylor series of some popular functions / 16.3: |
Trigonometric and exponential functions / 16.4: |
Properties of complex numbers / 16.5: |
Polar form of complex numbers / 16.6: |
Simple Harmonic Motion / 17: |
More examples of oscillations / 17.1: |
Superposition of solutions / 17.2: |
Conditions on solutions to the harmonic oscillator / 17.3: |
Exponential functions as generic solutions / 17.4: |
Damped oscillations: a classification / 17.5: |
Over-damped oscillations / 17.5.1: |
Under-damped oscillations / 17.5.2: |
Critically damped oscillations / 17.5.3: |
Driven oscillator / 17.6: |
Waves I / 18: |
The wave equation / 18.1: |
Solutions of the wave equation / 18.2: |
Frequency and period / 18.3: |
Waves II / 19: |
Wave energy and power transmitted / 19.1: |
Doppler effect / 19.2: |
Superposition of waves / 19.3: |
Interference: the double-slit experiment / 19.4: |
Standing waves and musical instruments / 19.5: |
Fluids / 20: |
Introduction to fluid dynamics and statics / 20.1: |
Density and pressure / 20.1.1: |
Pressure as a function of depth / 20.1.2: |
The hydraulic press / 20.2: |
Archimedes' principle / 20.3: |
Bernoulli's equation / 20.4: |
Continuity equation / 20.4.1: |
Applications of Bernoulli's equation / 20.5: |
Heat / 21: |
Equilibrium and the zeroth law: temperature / 21.1: |
Calibrating temperature / 21.2: |
Absolute zero and the Kelvin scale / 21.3: |
Heat and specific heat / 21.4: |
Phase change / 21.5: |
Radiation, convection, and conduction / 21.6: |
Heat as molecular kinetic energy / 21.7: |
Thermodynamics I / 22: |
Recap / 22.1: |
Boltzmann's constant and Avogadro's number / 22.2: |
Microscopic definition of absolute temperature / 22.3: |
Statistical properties of matter and radiation / 22.4: |
Thermodynamic processes / 22.5: |
Quasi-static processes / 22.6: |
The first law of thermodynamics / 22.7: |
Specific heats: cv and cp / 22.8: |
Thermodynamics II / 23: |
Cycles and state variables / 23.1: |
Adiabatic processes / 23.2: |
The second law of thermodynamics / 23.3: |
The Carnot engine / 23.4: |
Denning T using Carnot engines / 23.4.1: |
Entropy and Irreversibility / 24: |
Entropy / 24.1: |
The second law: law of increasing entropy / 24.2: |
Statistical mechanics and entropy / 24.3: |
Entropy of an ideal gas: full microscopic analysis / 24.4: |
Maximum entropy principle illustrated / 24.5: |
The Gibbs formalism / 24.6: |
The third law of thermodynamics / 24.7: |
Exercises |
Problem Set 1, for Chapter 1 |
Problem Set 2, for Chapter 2 |
Problem Set 3, for Chapters 3 and 4 |
Problem Set 4, for Chapters 5, 6, and 7 |
Problem Set 5, for Chapter 8 |
Problem Set 6, for Chapters 9, 10, and 11 |
Problem Set 7, for Chapters 12, 13, 14, and 15 |
Problem Set 8, for Chapters 16 and 17 |
Problem Set 9, for Chapters 18 and 19 |
Problem Set 10, for Chapter 20 |
Problem Set 11, for Chapters 21, 22, 23, and 24 |
Answers to Exercises |
Constants and Other Data |
Index |
Preface to the Expanded Edition |
Preface to the First Edition |
The Structure of Mechanics / 1: |