理论力学讲义:简化版:simplified edition:英文

1 Preface
2 Preliminary Knowledge
2．1 Trigonometric function
2．2 Concept of distance
2．3 Scalar and vector
Exercises

Section Ⅰ Statics
3 Fundamentals of Statics
3．1 Force
3．2 Axioms in statics
3．3 Moment of a force
Exercises
4 Force Analysis
4．1 Constraint
4 2 Force analysis
5 Simplification of a Force Group
5．1 Planar couple
5．2 Theorem of parallel translation of a force
5．3 Simplification of a force system
5．4 Further simplification of a force system
6 Equilibrium of the General Coplanar Force Group
7 Center of the Parallel Force Group
7．1 Theorem of the resultant moment
7．2 Center of the parallel force system
7．3 Gravitational center

Section Ⅱ Kinematics
8 Motion of a Particle
8．1 Cartesian coordinate system
8．2 Natural coordinate system
9 Basic Motion of the Rigid Body
9．1 Translation
9．2 Rotation on a fixed axis
10 Planar Motion of the Rigid Body
10．1 Relative velocity
10．2 Instantaneous center

Section Ⅲ Kinetics
11 Newton's Laws of Motion
12 Theorem of Momentum
13 Theorem of Angular Momentum
13．1 Moment of inertia of a rigid body to an axis
13．2 Theorem of angular momentum
14 Theorem of Kinetic Energy
14． 1 Work
14． 2 Kinetic energy
14． 3 Theorem of kinetic energy
15 Summary
15．1 Similar examples in nature
15．2 Analogies in Theoretical Mechanics
References