Review of : Vector mechanics for Engineers: Statics and Dynamics (5th edition), by Beer and Johnston.
This is the 1988 version of this standard text. The authors have written an introductory text of about 1000 pages which covers the standard content of a typical undergraduate education in Mechanics. They use vector notation and algebra consistently throughout. The required vector notions are carefully explained when they occur in the text rather than collecting them together at the beginning. The power of vector methods in 3D problems is well illustrated. The development of the subject is fairly slow, careful and straightforward with a great number of well-diagrammed engineering problems. I found it very enjoyable and helpful to read. The problems tend to be numeric rather than algebraic as in a math-oriented text. Part of the length of the text is due to chapter reviews at the close of each chapter, introduced in this edition, which appear to be required now-a-days. I learned mechanics in the mid-fifties from the three texts by A.S.Ramsey. The coverage of the present volume is similar except Lagrange's generalized co-ordinates are not covered. Much of the material would be accessible to students who are math specialists in the Sixth form.
The sections on couples and the reduction of forces acting on a rigid body suffers from notational problems since force-vector(F) + force-vector(-F) = vector(0), by definition, so the forces vector(F) and vector(-F) cannot form a couple. This problem seems to occur in many texts using vector notation. This vitiates several proofs and leads to diagrams with several vector forces labelled F sprouting out. Of course, force-vector(F) has a unique line of action.