Mechanics Book

This textbook covers a first course in mechanics on an applied mathematics degree course. Mechanics is introduced here in terms of the motion of a moving particle, with rigid body problems left until the subject is more fully developed. Full treatment of vectors, kinematics and dynamics is given as a precursor to specific discussions of topics in mechanics. Chapter 1 deals with the elementary theory of vectors and assumes limited prior knowledge of vector algebra. The mechanics of a particle is introduced in Chapters 2-8 inclusively, covering aspects such as resisting forces, work and energy, oscillations, central forces including Kepler's law and systems of particles. Chapter 9 is devoted to a full discussion of angular vectors including the theory of rotating axes, and Chapter 10 deals with the theory of moments as required for a full understanding of rigid body mechanics. These two chapters are used in developing the equations of motion as discussed in Chapter 11. The bulk of Chapter 11 is devoted to worked examples in order to demonstrate the many and varied applications of the equations of motion. Both 2- and 3-dimensional applications are discussed. Virtual work and Lagrange's equations are introduced in Chapter 12, and Chapter 13 describes some important techniques used in non-linear mechanics. Illustrative examples are provided throughout each chapter, and a substantial number of exercises is given at the end of each chapter. This book should be of interest to first year degree students in mathematics and applied mathematics.Read More