cbPhysicsIa17 - Chapter 1 Mathematical Prelude 1...

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Unformatted text preview: Chapter 1 Mathematical Prelude 1 cbPhysicsIa17.doc Calculus-Based Physics I by Jeffrey W. Schnick Copyright 2005-2007, Jeffrey W. Schnick, Creative Commons Attribution Share-Alike License 2 . 5. You can copy, modify, and re-release this work under the same license provided you give attribution to the author. See http://creativecommons.org/ This book is dedicated to Marie, Sara, and Natalie. 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 2 nd 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 . Statics ....
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cbPhysicsIa17 - Chapter 1 Mathematical Prelude 1...

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