Table of Contents
1 Mathematical Prelude 2
2 Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy 10
3 Conservation of Mechanical Energy II: Springs, Rotational Kinetic Energy 18
4 Conservation of Momentum 20
5 Conservation of Angular Momentum 25
6 One-Dimensional Motion (Motion Along a Line): Definitions and Mathematics 30
7 One-Dimensional Motion: The Constant Acceleration Equations 39
8 One-Dimensional Motion: Collision Type II 43
9 One-Dimensional Motion Graphs 48
10 Constant Acceleration Problems in Two Dimensions 52
11 Relative Velocity 62
12 Gravitational Force Near the Surface of the Earth, First Brush with Newton’s 2nd Law 69
13 Freefall, a.k.a. Projectile Motion 74
14 Newton’s Laws #1: Using Free Body Diagrams 79
15 Newton’s Laws #2: Kinds of Forces, Creating Free Body Diagrams 86
16 Newton’s Laws #3: Components, Friction, Ramps, Pulleys, and Strings 95
17 The Universal Law of Gravitation 104
18 Circular Motion: Centripetal Acceleration 111
19 Rotational Motion Variables, Tangential Acceleration, Constant Angular Acceleration 117
20 Torque & Circular Motion 124
21 Vectors: The Cross Product & Torque 132
22 Center of Mass, Moment of Inertia 142
23 Statics 155
24 Work and Energy 162
25 Potential Energy, Conservation of Energy, Power 171
26 Impulse and Momentum 180
27 Oscillations: Introduction, Mass on a Spring 185
28 Oscillations: The Simple Pendulum, Energy in Simple Harmonic Motion 197
29 Waves: Characteristics, Types, Energy 202
30 Wave Function, Interference, Standing Waves 218
31 Strings, Air Columns 225
32 Beats, The Doppler Effect 233
33 Fluids: Pressure, Density, Archimedes’ Principle 239
34 Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle 247
35 Temperature, Internal Energy, Heat, and Specific Heat Capacity 257
36 Heat: Phase Changes 262
37 The First Law of Thermodynamics 266
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