文档介绍：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 I-1
Balancing forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-1
Balancing torques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-5
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-9
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-12
Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-17
2 Using F = ma II-1
Newton’s Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II-1
Free-body diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . II-4
Solving differential equations . . . . . . . . . . . . . . . . . . . . . . II-8
Projectile motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II-12
Motion in a plane, polar coordinates . . . . . . . . . . . . . . . . . . II-15
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II-18
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II-24
Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II-28
3 Oscillations III-1
Linear differential equations . . . . . . . . . . . . . . . . . . . . . . . III-1
Simple harmonic motion . . . . . . . . . . . . . . . . . . . . . . . . . III-4
Damped harmonic motion . . . . . . . . . . . . . . . . . . . . . . . . III-6
Driven (and damped) harmonic motion . . . . . . . . . . . . . . . . III-8
Coupled oscillators . . . . . . . . . . . . . . . . . . . . . . . . . . . . III-13