Tenenbaum Fundamentals of Applied Dynamics

2004
ISBN: 978-0-387-21817-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 713 Seiten, eBook

Reihe: Advanced Texts in Physics

A translation of the highly acclaimed text by Roberto Tenenbaum (originally published in Portuguese). Tenenbaum's book covers the full range of topics included in a complete basic course designed for undergraduate students in engineering. Requiring no more than a basic course in calculus, the text employs an intuitive approach, from the point of view of Newtonian mechanics, that avoids the complications of Hamiltonian and Lagrangian formalism. The balance between analysis and practical examples also avoids the tendency of other engineering- oriented texts to assume an antipathy towards abstract thinking among engineers. The analytical approach, presented in a simple but rigorous way, gives the required tools for modeling novel practical situations.

Zielgruppe

Graduate

Autoren/Hrsg.

Tenenbaum, Roberto A.

Weitere Mitwirkende

Marshall, Elvyn Laura

Inhaltsverzeichnis

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