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
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Part II Kinematics
Part III Kinetics