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1. Applications of vectors in mechanics 1.1 Solution of simple vector differential equations - Motion of a plane when acceleration is proportional to the velocity - Motion in three-dimensional space when the acceleration is proportional to the velocity - Solution of vector form of the equation for damped harmonic motion - Solution of sample vector equations1.2 Work done by a constant force1.3 The vector moment of a force1.4 The analysis of systems of forceCouplesEquivalent systems of forcesPoinsot's reduction of a system of forcesSummary of key points2. Motion of a particle with varying mass Summary of key pointsReview Exercise 13.Moments of inertia of a rigid body 3.1 What is a moment of inertia?3.2 Calculating moments if inertia3.3 The additive rule3.4 Using standard results3.5 The stretching rule - The moment of inertia of a uniform rectangular lamina - The moment of inertia of a hollow cylinder3.6 Radius of gyration3.7 Moments of inertia of spheres - Moment of inertia of a solid sphere - Moment of inertia of a hollow sphere3.8 The parallel axis theorum3.9 The perpendicular axes theorum for a laminaSummary of key points4. Rotation of a rigid body about a fixed smooth axis 4.1 The kinetic and potential energies of a rotating body4.2 The equation of rotational motion4.3 The force on the axis of rotation4.4 Angular momentum4.5 Conservation of angular momentum4.6 The effect of an impulse on a rigid body which is free to rotate about a fixed axis4.7 The simple pendulum4.8 The compound pendulum - The equivalent simple pendulumSummary of key pointsRevision exercise 2Examination style paper M5AnswersList of symbols and notationIndex