Whether it is analyzing the stability of an underwater robot or predicting the trajectory of a satellite, today's engineers are solving increasingly difficult and unconventional problems in dynamics. "Fundamentals of Applied Dynamics" provides students with all of the foundations they need to solve problems in Newtonian mechanics. The author's unique, methodological approach also helps students to develop their problem-solving, abstract thinking, and spatial relations skills.

In each chapter, general concepts are presented first, followed by illustrated examples and worked problems. Notation and methodology are consistently presented whenever possible, so that the student will recognize principles common to particle dynamics, system dynamics, and rigid body dynamics. The text is complemented by over XXX figures, and early XXX problems help students to strengthen their skills. A supplementary website with MAPLE animations is available at http://www.springer.com/physics/classical+continuum+physics/book/978-0-387-00887-5.

Fundamentals of Applied Dynamics covers Newtonian mechanics, without Hamiltonian or Lagrangian formalism. No further knowledge other than one year of calculus is required.

Dr. Roberto Tenenbaum has over 30 years of teaching experience. He is a professor of Mechanical Engineering at the University of Rio de Janeiro, Brazil.

Some praise for the original edition:

"[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

Klappentext

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.

Inhalt

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