Includes Answers to exercises and index

Cover; Half-Title; Title; Copyright; Dedication; Contents; Preface to Second Edition; 1 Kinematics; 1.1 Introduction; 1.2 Definition of kinematic quantities; 1.3 One-dimensional models; 1.4 Graphical representation; 1.5 Calculus and rates of change; 1.6 Constant acceleration; 1.7 Conclusions from experimental data; 1.8 Two- and three-dimensional models; 1.9 Resolution of vectors; 1.10 Two-dimensional parametric motion 18 Exercises; 2 Forces; 2.1 Force as a vector; 2.2 Newton's laws of motion; 2.3 Resistance and the particle model; 2.4 Energy, work and power; 2.5 Energy conservation. 2.6 Impulse and momentum from Newton's laws2.7 Connected particles; Exercises; 3 Force as a Vector; 3.1 Modellingforces; 3.2 Resolution; 3.3 Resultant force; 3.4 Equilibrium; 3.5 Friction; 3.6 Newton's laws in vector notation; Exercises; 4 Collisions; 4.1 Introduction; 4.2 Collisions in the real world; 4.3 Conservation of momentum via impulse for colliding bodies; 4.4 Newton's experimental law; 4.5 Direct collision between a particle and a fixed barrier; 4.5.1 Oblique collision between a particle and a fixed barrier; 4.5.2 Oblique collision between two particles; Exercises. 5 Motion Under Gravity5.1 Introduction; 5.2 Motion with no resistance; 5.3 Motion with resistance proportional to speed; 5.4 Motion with resistance proportional to the square of speed; 5.5 Terminal velocity; 5.6 Projectiles; 5.7 Modelling projectile motion; 5.8 Resolving the velocity; 5.9 The trajectory; 5.10 The envelope of trajectories; 5.11 The motion of a projectile relative to an inclined plane; 5.12 Practical examples; Exercises; 6 Circular Motion; 6.1 Introduction; 6.2 Polar coordinates; 6.3 Circular motion in practice; 6.4 Motion in a horizontal circle; 6.5 The conical pendulum. 6.6 Motion in a vertical circle6.7 Motion in a circle and connected particles; 6.8 Vector methods and circular motion; 6.9 Circular orbits; 6.10 Angular velocity as a vector; Exercises; 7 Rotating Axes; 7.1 Introduction; 7.2 Preliminary notions of rotating frames; 7.3 Rotating coordinate systems; 7.4 The rotating Earth; Exercises; 8 Vibrations; 8.1 Introduction; 8.2 Simple harmonic motion; 8.3 Damped motion; 8.4 Forced oscillations; 8.5 Normal modes; 8.5.1 Double spring-mass system; 8.5.2 Triple spring-double mass system; 8.5.3 The double pendulum; Exercises; 9 Orbits; 9.1 Introduction. 9.2 The path of an orbit9.3 Energy; 9.4 Kepler's planetary laws; 9.5 Vector angular momentum and orbits; Exercises; 10 An Introduction to Rigid Body Dynamics; 10.1 Particle model or rigid body model; 10.2 Centre of mass and centre of gravity; 10.3 Conditions for equilibrium; 10.4 Dynamics of a rigid body; 10.4.1 Kinetic energy; 10.4.2 Conservation of energy for a rigid body; 10.4.3 Work done by a couple; 10.5 Newton's laws and rotating bodies; 10.6 Angular momentum; 10.7 General motion of a rigid body; 10.8 Actions at axes of rotation; 10.9 selected case studies; 11 variable mass problems; 11.1 introduction; 11.2 deriving the equations; 11.3 more realistic problems; 12 nonlinear dynamics; 12.1 introduction; 12.2 the phase plane; 12.3 predator - prey dynamics; 12.4 non-autonomous systems