Contents
Preface
To the Reader
Chapter 1 Introduction
1.1 Brief Historical Background
1.2 Mechanical Models
1.3 The Laws of Motion
1.4 Mass Center
1.5 Methodology
1.6 Notation
Exercise Series #1
Chapter 2 Vectors and Moments
2.1 Free, Sliding, and Bound Vectors
2.2 Moments
2.3 Vector Systems
2.4 Equivalent Systems
2.5 Central Axis
2.6 Forces and Torques
2.7 Friction
Exercise Series #2
Chapter 3 Kinematics
3.1 Di.erentiation of Vectors and Reference Frames
3.2 Angular Velocity of a Rigid Body
3.3 Use of Di.erent Reference Frames
3.4 Angular Acceleration
3.5 Position, Velocity, and Acceleration
3.6 Kinematic Theorems
3.7 Motion of Particles
3.8 Rigid Body Motion
3.9 Rolling
3.10 Mechanical Systems
Exercise Series #3
Exercise Series #4
Exercise Series #5
Chapter 4 Dynamics of Particles
4.1 Dynamic Properties
4.2 Newton’s Second Law
4.3 Plane Motion
4.4 Angular Momentum
4.5 Work and Potentials
4.6 Work and Energy
4.7 Impulse and Impact
4.8 Conservation Principles
Exercise Series #6
Chapter 5 Dynamics of Systems
5.1 Dynamic Properties
5.2 Force Systems
5.3 Equations of Motion
5.4 Continuous Systems
5.5 Work and Potentials
5.6 Work and Energy
5.7 Conservation Principles
5.8 Fluids
Exercise Series #7
Chapter 6 Inertia
6.1 Mass and Mass Center
6.2 Inertia Properties of a Particle
6.3 Inertia Properties of Systems and Bodies
Contents xv
6.4 Cartesian Coordinates
6.5 Transfer of Axes
6.6 Principal Directions of Inertia
Exercise Series #8
Exercise Series #9
Chapter 7 Dynamics of the Rigid Body
7.1 Dynamic Properties
7.2 Equations of Motion
7.3 Work on a Rigid Body
7.4 Work and Energy
7.5 Plane Motion
Exercise Series #10
Exercise Series #11
Chapter 8 Advanced Topics
8.1 Motion with a Fixed Point
8.2 Gyroscopic Motion
8.3 General Motion
8.4 Impulse and Impact
Exercise Series #12
Appendix A Linear Algebra
A.1 Scalars
A.2 Vectors
A.3 Tensors
A.4 Eigenvalues and Eigenvectors
Exercise Series #13
Appendix B Linkages
Appendix C Properties of Inertia
C.1 Lines
C.2 Sections
C.3 Surfaces
C.4 Solids
Appendix D Answers to the Exercises
Index