Introductory Classical Mechanics

THERE ONCE WAS A CLASSICAL THEORY… Introductory Classical Mechanics, with Problems and Solutions David Morin …Of which quantum disciples were leery. They said, “Why spend so long On a theory that’s wrong?” Well, it works for your everyday query! Copyright © 2004 by David Morin All rights reserved Contents 1 Statics 1.1 Balancing 1.2 Balancing 1.3 Exercises 1.4 Problems 1.5 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-1 . I-1 . I-5 . I-9 . I-12 . I-17 2 Using F = ma 2.1 Newton’s Laws . . . . . . . . . . . . 2.2 Free-body diagrams . . . . . . . . . 2.3 Solving differential equations . . . . 2.4 Projectile motion . . . . . . . . . . . 2.5 Motion in a plane, polar coordinates 2.6 Exercises . . . . . . . . . . . . . . . 2.7 Problems . . . . . . . . . . . . . . . 2.8 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . forces . torques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Oscillations 3.1 Linear differential equations . . 3.2 Simple harmonic motion . . . . 3.3 Damped harmon