Description
Book SynopsisA translation of the highly acclaimed text by Roberto Tenenbaum (originally published in Portuguese). 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.
Trade ReviewFrom the reviews:
"[Fundamentals of Applied Dynamics] contains a large number of examples treated in great detail... The author takes great pains to carefully examine all the points touched upon ... The material is presented in a very systematic way, almost always going from the general to the more particular. The text is extremely clear and consistent, and all the figures are of excellent quality... The careful, authoritative and comprehensive way in which the material is presented reflects the long experience of the author in teaching dynamics to generations of students." Peter Hagedorn, Darmstadt University of Technology
From the reviews:
"One of the problems of teaching physics and engineering … is that there is insufficient time in a typical course to study the … subject in detail. The strength of this book is that it does just that. … The subject matter is very carefully introduced … . copiously illustrated with figures and worked examples and there is an extensive set of exercises. … the book is extremely readable. … a welcome addition to any university library." (Professor J. Hugill, Contemporary Physics, Vol. 46(4), 2005)
"Provides students with all of the essential knowledge they need to solve problems in classical mechanics. … Precise notation and consistent methodology are used … . there is a valuable index. … fascinatingly useful to undergraduate students in engineering courses. … One can fully appreciate the remarkable and splendid value evident in this contribution. A stimulating introduction to the book is provided … . a solid base for a graduate course on analytical mechanics." (Current Engineering Practice, Vol. 47, 2004-2005)
Table of ContentsContents
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
