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Classical Mechanics

A Modern Perspective (2nd Edition)by

Barger and Olsson

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Chapter 1

One-Dimensional Motion

1.1 Newtonian Theory

1.2 Interactions

1.3 The Drag Racer: Frictional Force

1.4 Sport Parachuting: Aerodynamic Drag

1.5 Archery: Spring Force

1.6 Methods of Solution

1.7 Simple Harmonic Oscillator

1.8 Damped Harmonic Oscillator

1.9 Damped Oscillator with Driving Force: Resonance

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4 CHAPTER 1. ONE-DIMENSIONAL MOTION

Chapter 2

Energy Conservation

2.1 Potential Energy

2.2 Gravitational Escape

2.3 Small Oscillations

2.4 Three-Dimensional Motion

2.5 Conservative Forces in Three Dimensions

2.6 Motion in a Plane

2.7 Simple Pendulum

2.8 Coupled Harmonic Oscillators

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6 CHAPTER 2. ENERGY CONSERVATION

Chapter 3

Lagrangian Method

3.1 Lagrange Equations

3.2 Lagrange’s Equations in One Dimension

3.3 Lagrange’s Equations in Several Dimension

3.4 Constraints

3.5 Pendulun With Oscillating Support

3.6 Hamilton’s Principle and Lagrange’s Equations

3.7 Hamilton’s Equations

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8 CHAPTER 3. LAGRANGIAN METHOD

Chapter 4

Momentum Conservation

4.1 Rocket Motion

4.2 Frames of Reference

4.3 Elastic Collisions: Lab and CM Systems

4.4 Collisions of Billiard Balls

4.5 Inelastic Collision

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10 CHAPTER 4. MOMENTUM CONSERVATION

Chapter 5

Angular Momentum Conservation

5.1 Central Forces

5.2 Planetary Motion

5.3 Kepler’s Laws

5.4 Satellites and Spacecraft

5.5 Grand Tours of the Outer Planets

5.6 Rutherford Scattering

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12 CHAPTER 5. ANGULAR MOMENTUM CONSERVATION

Chapter 6

Particle Systems and Rigid Bodies

6.1 Center of Mass and the Two-Body Problem

6.2 Rotational Equation and Motion

6.3 Rigid Bodies: Static Equilibrium

6.4 Rotations of Rigid Bodies

6.5 Gyroscope Effect

6.6 The Boomerang

6.7 Moments and Products of Inertia

6.8 Single-Axis Rotations

6.9 Moments-of-Inertia Calculations

6.10 Impulses and Billiard Shots

6.11 Super-Ball Bounces

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14 CHAPTER 6. PARTICLE SYSTEMS AND RIGID BODIES

Chapter 7

Accelerated Coordinate Systems

7.1 Transformation to Moving Coordinate Frames

7.2 Fictitious Forces

7.3 Motion on the Earth

7.4 Foucault’s Pendulum

7.5 Dynamical Balance of a Rigid Body

7.6 Principal Axes and Euler’s Equations

7.7 The Tennis Racket Theorem

7.8 The Earth as a Free Symmetric Top

7.9 The Free Symmetric Top: External Observer

7.10 The Heavy Symmetric Top

7.11 Slipping Tops: Rising and Sleeping

7.12 The Tippie-Top

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16 CHAPTER 7. ACCELERATED COORDINATE SYSTEMS

Chapter 8

Gravitation

8.1 Attraction of a Spherical Body: Newton’s Theorem

8.2 The Tides

8.3 Tidal Evolution of a Planet-Moon System

8.4 General Relativity: The Theory of Gravity

8.5 Planetary Motion–Perihelion Advance

8.6 Self-Gravitation Bodies: Stars

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18 CHAPTER 8. GRAVITATION

Chapter 9

Newtonian Cosmology

9.1 The Expansion of the Universe

9.2 Cosmic Redshift

9.3 Virial Theorem

9.4 Dark Matter

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20 CHAPTER 9. NEWTONIAN COSMOLOGY

Chapter 10

Relativity

10.1 The Relativity Idea

10.2 The Michelson-Morley Experiment

10.3 Lorentz Transformation

10.4 Consequences of Relativity

10.5 Relativistic Momentum and Energy

10.6 Relativistic Dynamics

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