Preliminary Knowledge
1.1 Trigonometric Function
1.2 Concept of Distance
1.3 Scalar and Vector
Exercises
Part I Statics
2 Fundamentals of Statics
2.1 Force
2.2 Axioms in Statics
2.3 Moment of a Force
Exercises
3 Force Analysis
3.1 Constraint
3.2 Force Analysis
Exercises
4 Simplification of a Force Group
4.1 Planar Couple
4.2 Theorem of Parallel Translation of a Force
4.3 Simplification of a Force System
4.4 Further Simplification of a Force System
Exercises
5 Equilibrium of the General Coplanar Force Group
5.1 Equilibrium Equations for One Rigid Body System .
5.2 Rigid Multi-body System
Exercises
Center of the Parallel Force Group
6.1 Theorem of the Resultant Moment
6.2 Center of the Parallel Force System
6.3 Gravitational Center
Exercises
Part II Kinematics
7 Motion of a Particle
7.1 Cartesian Coordinate System
7.2 Natural Coordinate System
Exercises
8 Basic Motion of the Rigid Body
8.1 Translation
8.2 Rotation on a Fixed Axis
Exercises
9 Planar Motion of the Rigid Body
9.1 Relative Velocity
9.2 Instantaneous Center
Exercises
Part III Kinetics
10 Newton's Laws of Motion
Exercises
11 Theorem of Momentum
Exercises
12 Theorem of Angular Momentum
12.1 Moment of Inertia of a Rigid Body to an Axis
12.2 Theorem of Angular Momentum
Exercises
13 Theorem of Kinetic Energy
13.1 Work
13.2 Kinetic Energy
13.3 Theorem of Kinetic Energy
Exercises
14 Lagrange Equation
Exercises
15 Summary
15.1 Similar Examples in Nature
15.2 Analogies in Theoretical Mechanics
References

This book addresses a range of basic and essential topics， selected from the author's teaching and research activities， offering a comprehensive guide in three parts： Statics， Kinematics and Kinetics. Chapter i briefly discusses the history of classical and modern mechanics， while Chapter 2， presents preliminary knowledge， preparing readers for the subsequent chapters. Chapters 3 to 7 introduce statics， force analysis， simplification of force groups， equilibrium of the general coplanar force group， and the center of the parallel force group.