Fundamentals of Applied Dynamics

by Tenenbaum, Roberto A.

• ISBN13: 9780387008875
• ISBN10: 038700887X
• Format: Hardcover
• Copyright: 2004-02-01
• Publisher: Springer Verlag

Summary

Tenenbaum's Dynamics 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. The English edition is based on the highly acclaimed Portuguese textbook.

Author Biography

Roberto A. Tenenbaum is a professor and researcher of mechanical engineering at the Federal University of Rio de Janeiro, Brazil.

Table of Contents

Preface	vii
To the Reader	xi
Introduction	1	(26)
Brief Historical Background	2	(4)
Mechanical Models	6	(7)
The Laws of Motion	13	(5)
Mass Center	18	(1)
Methodology	19	(2)
Notation	21	(6)
Exercise Series #1	24	(3)
Vectors and Moments	27	(63)
Free, Sliding, and Bound Vectors	28	(2)
Moments	30	(5)
Vector Systems	35	(8)
Equivalent Systems	43	(6)
Central Axis	49	(11)
Forces and Torques	60	(6)
Friction	66	(24)
Exercise Series #2	76	(14)
Kinematics	90	(123)
Differentiation of Vectors and Reference Frames	92	(7)
Angular Velocity of a Rigid Body	99	(7)
Use of Different Reference Frames	106	(8)
Angular Acceleration	114	(4)
Position, Velocity, and Acceleration	118	(7)
Kinematic Theorems	125	(8)
Motion of Particles	133	(16)
Rigid Body Motion	149	(12)
Rolling	161	(6)
Mechanical Systems	167	(46)
Exercise Series #3	183	(11)
Exercise Series #4	194	(3)
Exercise Series #5	197	(16)
Dynamics of Particles	213	(84)
Dynamic Properties	214	(7)
Newton's Second Law	221	(16)
Plane Motion	237	(5)
Angular Momentum	242	(5)
Work and Potentials	247	(10)
Work and Energy	257	(7)
Impulse and Impact	264	(12)
Conservation Principles	276	(21)
Exercise Series #6	287	(10)
Dynamics of Systems	297	(103)
Dynamic Properties	298	(19)
Force Systems	317	(11)
Equations of Motion	328	(14)
Continuous Systems	342	(8)
Work and Potentials	350	(11)
Work and Energy	361	(6)
Conservation Principles	367	(12)
Fluids	379	(21)
Exercise Series #7	387	(13)
Inertia	400	(84)
Mass and Mass Center	401	(9)
Inertia Properties of a Particle	410	(8)
Inertia Properties of Systems and Bodies	418	(11)
Cartesian Coordinates	429	(10)
Transfer of Axes	439	(8)
Principal Directions of Inertia	447	(37)
Exercise Series #8	461	(9)
Exercise Series #9	470	(14)
Dynamics of the Rigid Body	484	(79)
Dynamic Properties	485	(13)
Equations of Motion	498	(12)
Work on a Rigid Body	510	(10)
Work and Energy	520	(7)
Plane Motion	527	(36)
Exercise Series #10	542	(10)
Exercise Series #11	552	(11)
Advanced Topics	563	(72)
Motion with a Fixed Point	564	(10)
Gyroscopic Motion	574	(27)
General Motion	601	(18)
Impulse and Impact	619	(16)
Exercise Series #12	626	(9)
Appendix A Linear Algebra	635	(28)
A.1 Scalars	636	(1)
A.2 Vectors	637	(11)
A.3 Tensors	648	(8)
A.4 Eigenvalues and Eigenvectors	656	(7)
Exercise Series #13	661	(2)
Appendix B Linkages	663	(5)
Appendix C Properties of Inertia	668	(23)
C.1 Lines	672	(1)
C.2 Sections	673	(9)
C.3 Surfaces	682	(2)
C.4 Solids	684	(7)
Appendix D Answers to the Exercises	691	(16)
Index	707