Lecture Notes on Theoretical Mechanics

1 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
6 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
Part III Kinetics