Preface
Part Ⅰ.Fundamentals
1. Basic Concepts
Newton’’s Laws of Motion
Units and Measures
Coordinate System
Vectors
Derivatives and Integrals
Mass, Center of Mass, and Moment of Inertia
Newton’’s Second Law of Motion
Inertia Tensor
Relativistic Time
2. Kinematics
Velocity and Acceleration
Constant Acceleration
Nonconstant Acceleration
2D Particle Kinematics
3D Particle Kinematics
X Components
Y Components
Z Components
The Vectors
Hitting the Target
Kinematic Particle Explosion
Rigid-Body Kinematics
Local Coordinate Axes
Angular Velocity and Acceleration
3. Force
Forces
Force Fields
Friction
Fluid Dynamic Drag
Pressure
Buoyancy
Springs and Dampers
Force and Torque
Summary
4. Kinetics
Particle Kinetics in 2D
Particle Kinetics in 3D
X Components
Y Components
Z Components
Cannon Revised
Rigid-Body Kinetics
5. Collisions
Impulse-Momentum Principle
Impact
Linear and Angular Impulse
Friction
6. Projectiles
Simple Trajectories
Drag
Magnus Effect
Variable Mass
Part Ⅱ.Rigid-BodyDynamics
7. Real-Time Simulations
Integrating the Equations of Motion
Euler’’s Method
Better Methods
……
8. Particles
9. 2D Rigid-Body Simulator
10. Implementing Collision Response
11. Rotation in 3D Rigid-Body Simulators
12. 3D Rigid-BodySimulator
13. Connecting Objects
14. Physics Engines
Part Ⅲ.Physical Modeling
15. Aircraft
16. Ships and Boats
17. Cars and Hovercraft
18. Guns and Explosions
19. Sports
Part Ⅳ.Digital Physics
20. Touch Screens
21. Accelerometers
22. Gaming from One Place to Another
23. Pressure Sensors and Load Cells
24. 3D Display
25. Optical Tracking
26. Sound
A. Vector Operations
B. Matrix Operations
C. Quaternion Operations
Bibliography
Index
