2.6 Addition and Subtraction of Cartesian Vectors 42
2.7 Position Vectors 51
2.8 Force Vector Directed Along a Line 54
2.9 Dot Product 64 A CONTENTS
3
Equilibrium of a Particle
4
3.1 Condition for the Equilibrium of a Particle 73.
3.2 The Free-Body Diagram 74
3.3 Coplanar Force Systems 77
3.4 Three-Dimensional Force Systems 89
Force System Resultants
4.1 Cross Product 101
4.2 Moment of a Force-Scalar Formulation 105
4.3 Moment of a Force-Vector Formulation 107 4.4 Transmissibility of a Force and the Principle of
4.6 Moment of a Couple 131
Moments 113 4.5 Moment of a Force About a Specified Axis 122
4.7 Movement of a Force on a Rigid Body 141
4.8 Resultants of a Force and Couple System 143
4.9 Further Reduction of a Force and Couple System
4.10 Reduction of a Simple Distributed Loading 163
5
Equilibrium of a Rigid Body
5.1 Conditions for Rigid-Body Equilibrium
175
5.2 Free-Body Diagrams
Equilibrium in Two Dimensions
177
177
5.3 Equations of Equilibrium 189
198
5.4 Two- and Three-Force Members Equilibrium in Three Dimensions
209
5.5 Free-Body Diagrams 209
5.6 Equations of Equilibrium 214
5.7 Constraints for a Rigid Body
215
The purpose of this book is to provide the student with a clear and thorough presentation of the theory and applications of engineering mechanics. To achieve this objective the author has by no means worked alone on this task. for to a large extent this book has been shaped by the comments and sugges-tions of more than a hundred reviewers in the teaching profession and many of the author's students who have used its previous editions.
Much has been done during the preparation of this new edition. Former users of the book will notice that the art work has been greatly enhanced in order to gain a more realistic and understandable sense of the material. There are more problems in this edition than ever before, and most of them are new.
Although the contents of the book have remained in the same order, some topics have been expanded, examples have been replaced with others, and the explanations of many topics have been improved by a careful rewording of selected sentences. The hallmark of the book remains the same, however, and that is, where necessary, a strong emphasis is placed on drawing a free-body diagram, and also the importance of selecting an appropriate coordinate sys-tem and associated sign convention for vector components is stressed when the equations of mechanics are applied
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