MechanicsMechanics Second Edition P. Smith Department of Mathematics University of Keele, UK and R.C. Smith Open University, UK A revised and updated edition of the authors' highly successful earlier book, this introductory text on Mechanics is designed to give a thorough grounding in particle dynamics and elementary rigid body dynamics. Aimed at first degree students in Mathematics, Physics, Chemistry and Engineering, the book is largely self-contained, including the necessary vector calculus, as well as background differential equations and numerical methods. Topics covered include kinematics, the principles of mechanics, work and energy, rocket dynamics, linear vibration theory, orbits, non-linear dynamics, and rotating frames. The theory and explanation are backed up by more than 360 examples and problems, with many worked through in full in the text. In this new edition, the chapter on vibrations has been completely revised and divided into two, and the original chapter on linear theory has been extended to include normal modes of multiple systems. A completely new chapter on non-linear dynamics has been added to illustrate such phenomena as limit cycles, period doubling and chaos in dynamical systems. Chapters on applications of particle dynamics and differential equations have also been re-organized. The text now includes many computer-generated diagrams. |
Common terms and phrases
A₂ acceleration amplitude angle angular velocity approximately assume axis ball bead centre circular components conservative constant coordinates cylinder damping dashpot differential equations displacement distance dr² dt dt dynamics Earth eigenfrequencies equation of motion equilibrium points Example Find first-order fixed point frequency friction function given gravitational height Hence horizontal inertia initial conditions integral kinetic energy km/h line integral linear m/s² m₁ m₂ mass-centre maximum moment of inertia momentum moving natural length orbit oscillations output particle of mass period perpendicular phase diagram phase paths phase plane plane Poincaré map position vector potential energy projectile radius resistance rigid body rocket rotating frame satellite scalar Section Show shown in Figure simple harmonic simple harmonic motion simple pendulum sin² solution speed sphere spring stable T₁ T₂ unit vector vertical δι
References to this book
Mechanics in the Earth and Environmental Sciences Gerard V. Middleton,Peter R. Wilcock Limited preview - 1994 |
Mathematical Modelling: Teaching and Assessment in a Technology-rich World Peter Galbraith No preview available - 1998 |