Scope, Aims, and Audiences This primer is intended to provide the theoretical background for the standard undergraduate course in dynamics. This course is usually based on one of the following texts: Bedford and Fowler [6], Beer and John ston [7], Hibbeler [33], Meriam and Kraige [39], Riley and Sturges [50], and Shames [56], among others. Although most teachers will have cer tain reservations about these texts, there appears to be a general consensus that the selection of problems each of them presents is an invaluable and essential aid for studying and understanding dynamics. I myself use Meriam and Kraige [39] when teaching such a course, which is referred to as ME104 at the University of California at Berkeley. However, I have found that the gap between the theory presented in the aforemen tioned texts and the problems I wished my students to solve was too large. As a result, I prepared my own set of notes on the relevant theory, and I used Meriam and Kraige [39] as a problem and homework resource. This primer grew out of these notes. Its content was also heavily influenced by three other courses that I teach: one on rigid body dynamics, one on La 1 grangian mechanics, and another on Hamiltonian mechanics. Because I use the primer as a supplement, I have only included a set of brief exercises at the end of each chapter.
Rezensionen / Stimmen
From the reviews:
BULLETIN OF MATHEMATICS BOOKS
"Concepts are presented at a measure pace and many useful and important examples are provided. Along the way, advice is offered on solving problems in mechanics, and common errors are pointed out. For students who want to truly understand and analyze problems in dynamics, this primer is well worth having."
MATHEMATICAL REVIEWS
"The book is carefully written and provides a good introduction to the subject."
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
25
25 s/w Abbildungen
XVI, 203 p. 25 illus.
Dateigröße
ISBN-13
978-1-4757-3495-9 (9781475734959)
DOI
10.1007/978-1-4757-3495-9
Schweitzer Klassifikation
1 Elementary Particle Dynamics.- 2 Particles and Cylindrical Polar Coordinates.- 3 Particles and Space Curves.- 4 Friction Forces and Spring Forces.- 5 Power, Work, and Energy.- 6 Momenta, Impulses, and Collisions.- 7 Systems of Particles.- 8 Planar Kinematics of Rigid Bodies.- 9 Kinetics of a Rigid Body.- 10 Systems of Particles and Rigid Bodies.- A Preliminaries on Vectors and Calculus.- A.1 Vector Notation.- A.2 Dot and Cross Products.- A.3 Differentiation of Vectors.- A.4 A Ubiquitous Example of Vector Differentiation.- A.5 Ordinary Differential Equations.- A.5.1 The Planar Pendulum.- A.5.2 The Projectile Problem.- A.5.3 The Harmonic Oscillator.- A.5.4 A Particle in a Whirling Tube.- B Weekly Course Content and Notation in Other Texts.- B.1 Weekly Course Content.- B.2 Notation in Other Texts.- References.