Forces of contact Mysterious forces Quantitative definition of force 1.5 Point of application 1.6 Line of action I.7 Equilibrium of two forces 1.8 Parallelogram offorces (vector addition) 1.9 Resultant ofthręę coplanar forces acting at a point 1.10 Generalizations for forces acting at a point 1.11 More exercises I.lŻ Answers to exercises Moments 2.1 Moment of force 2.2 Three or more non-parallel non-concurrent coplanar forces 2.3 Parallel forces 2.4 Couples 2.5 Equations of equilibrium of coplanar forces 2.6 Applications 2.'7 Answers to exercises Centre of gravity 3.1 Coplanar parallel forces 3.2 Non-coplanar parallel forces 3.3 Finding c.g. positions of uniform plane laminas without using calculus 3.4 Using calculus to find c.g. positions of uniform plane laminas 3.5 Centre of gravity positions of uniform solid bodies of revolution 3.6 Answers to exercises Distributed forces 4.I Distributed loads 4.2 Hydrostatics 4.3 Buoyancy 4.4 Centre of pressure on a plane surface 4.5 Answers to exercises Trusses 5.1 Method of sections 5.2 Method of joints 5.3 Bow's notation 5.4 Answers to exercises Beams 6.1 Shearing force and bending moment 6.Ż Uniformly distributed beam loading 6.3 Using calculus 6.4 Answers to exercises Friction 7 .1 Force of friction 1.2 Sliding or toppling? 7.3 Direction of minimum pull 7.4 Ladder leaning against a wall 7.5 Motor vehicle clutch 7.6 Capstan 7.1 Answers to exercises Non-coplanar forces and couples 8.1 Coplanar force and couple 8.2 Effect of two non-coplanar couples 8.3 The wrench 8.4 Resultant of a system of forces and couples 8.5 Equations of equilibńum 8.6 Answers to exercises Virtual work 9.1 Work done by a force 9.2 Work done bya couple 9.3 Virtual work for a single body 9-4 Virtual work for a system of bodies 9.5 Stability of equilibrium 9.6 Answers to exercises ffiornamics 10 Kinematics of a point 10.1 Rectilinearmotion I0.2 Simple harmonic motion 10.3 Circular motion I0.4 Velocity vectors 10.5 Relative velocity 10.6 Motion along a curved path 10.1 Answers to exercises Kinetics of a particle 11.1 Newton's laws of motion 1I.2 Sliding down a plane I 1.3 Traclion and braking I1.4 Simple harmonic motion I1.5 Uniform circular motion 1 1.6 Non-uniform circular motion Il.1 Projectiles 1 1.8 Motion of connected weights t 1.9 Answers to exercises Plane motion of a rigid body I2.l Introduction I2.2 Moment I2.3 Instantaneous centre of rotation f2.4 Angular velocity 1Ż.5 Centre of gravity 12.6 Acceleration of the centre of gravity 1Ż.7 General dynamic equations 12.8 Moments of inertia 12.9 Perpendicular axis theorem 12.10 Rotation about a fixed axis l2.ll General plane motion I2.I2 More exercises 12.13 Answers to exercises Impulse and momentum 13.1 Deflnition of impulse and simple applications 13.2 Pressure of a water jet 13.3 Elasticcollisions 13.4 Moments of impulse and momentum 13.5 Centre of percussion 13.6 Conservation of moment of momentum 13.7 Impacts 13.8 Answers to exercises - 14 Work, power and energy I4.I Work done by force on a particle I4.2 Conservation of energy l4.3 Spring energy 14.4 Power 14.5 Kinetic energy of translation and rotation 14.6 Energy conservation with both translation and rotation I4.7 Energy and moment of momentum 14.8 Answers to exercises Problems . 15 Statics 16 Dynamics Part lV Background mathematics I7 Algebra 17.1 Indices 17.2 Logarithm 11 .3 Polynomials 11.4 Partial fractions 11.5 Sequences and series 11 .6 Binomial theorem Trigonometry I8.2 Trigonometrical ratios to remember 18.3 Radian measure 18.4 Compound angles 18.5 Solution of trigonometrical equations: inverse trigonometrical functions 18.6 Sine and cosine rules Calculus 19.1 Differential calculus 19.2 Differentiation from first principles 19.3 More derivative formulae I9.4 Complex numbers 19.5 Integral calculus L9.6 The definite integral 19.7 Methods of integration 19.8 Numerical integration I9.9 Exponential function e" and natural logarithm lnx 19.10 Some more integrals using partial fractions and integration by parts 19.11 Taylor, Maclaurin and exponential series Coordinate geometry 20.1 Introduction 20.2 Straight line 2O.3 Circle 2O.4 Conic sections 20.5 Parabola 20.6 Ellipse Ż0.7 Hyperbola ZO.8 Three-dimensional coordinate geometry 2O.9 Equations for a straight line 20.10 The plane 20.n Cylindrical and spherical coordinates Vector algebra 2l.I Vectors 21.2 Straight line and plane 21.3 Scalar product 2I.4 Vector product Two more topics 22.I A simple differential equation 22.2 Hyperbolic sines and cosines