100 Instructive Calculus-based Physics Examples - The Laws of Motion

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DESCRIPTION: over 100 fully-solved examples step-by-step solutions with explanations standard problems from physics with calculus includes tables of equations, symbols, and units This volume covers motion, including uniform acceleration, calculus-based motion, vector addition, projectile motion, Newton's laws, center of mass integrals, conservation of energy, collisions, the scalar and vector product, rotation, moment of inertia integrals, satellites, and more. (Vol. 2 covers electricity and magnetism, while Vol. 3 covers waves, fluids, heat, sound, and light. Vol.'s 2-3 will be released in the spring of 2017.) AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a half-dozen papers on the collider phenomenology of superstring-inspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge). Introduction......Page 4 Chapter 1 – Review of Essential Algebra Skills......Page 5 Chapter 2 – Review of Essential Calculus Skills......Page 19 Chapter 3 – One-dimensional Uniform Acceleration......Page 27 Chapter 4 – One-dimensional Motion with Calculus......Page 33 Chapter 5 – Review of Essential Geometry Skills......Page 37 Chapter 6 – Motion Graphs......Page 41 Chapter 7 – Two Objects in Motion......Page 45 Chapter 8 – Net and Average Values......Page 51 Chapter 9 – Review of Essential Trigonometry Skills......Page 55 Chapter 10 – Vector Addition......Page 73 Chapter 11 – Projectile Motion......Page 81 Chapter 12 – Two-dimensional Motion with Calculus......Page 87 Chapter 13 – Newton’s Laws of Motion......Page 89 Chapter 14 – Applications of Newton’s Second Law......Page 95 Chapter 15 – Hooke’s Law......Page 107 Chapter 16 – Uniform Circular Motion......Page 111 Chapter 17 – Uniform Circular Motion with Newton’s Second Law......Page 115 Chapter 18 – Newton’s Law of Gravity......Page 123 Chapter 19 – Satellite Motion......Page 129 Chapter 20 – The Scalar Product......Page 133 Chapter 21 – Work and Power......Page 137 Chapter 22 – Conservation of Energy......Page 149 Chapter 23 – One-dimensional Collisions......Page 169 Chapter 24 – Two-dimensional Collisions......Page 179 Chapter 25 – Rocket Propulsion......Page 185 Chapter 26 – Techniques of Integration and Coordinate Systems......Page 191 Chapter 27 – Center of Mass......Page 203 Chapter 28 – Uniform Angular Acceleration......Page 221 Chapter 29 – The Vector Product......Page 225 Chapter 30 – Torque......Page 229 Chapter 31 – Static Equilibrium......Page 237 Chapter 32 – Moment of Inertia......Page 247 Chapter 33 – A Pulley Rotating without Slipping......Page 271 Chapter 34 – Rolling without Slipping......Page 277 Chapter 35 – Conservation of Angular Momentum......Page 283