Mechanics 2 (Edexcel AS and A level Modular Mathematics)

About this book

1. Kinematics of a particle moving in a straight line or plane

1.1 The constant acceleration formulae for a projectile in a vertical plane

1.2 Calculus for a particle moving in a straight line with acceleration that varies with time

1.3 Calculus, with vectors, for a particle moving in a plane

2. Centres of mass

2.1 Finding the centre of mass of a set of particles in a straight line

2.2 Finding the centre of mass of a set of particles in a plane

2.3 Finding the centre of mass of a standard uniform plane lamina

2.4 Finding the centre of mass of a composite lamina

2.5 Finding the centre of mass of a framework

2.6 Solving problems involving a lamina in equilibrium

3. Work, energy and power

3.1 Calculating the work done by a force when its point of application moves

3.2 Calculating the kinetic energy and potential energy of a moving particle

3.3 The principle of conservation of mechanical energy and the work–energy principle

3.4 Calculating the power developed by an engine

Review Exercise 1

4. Collisions

4.1 The impulse–momentum principle

4.2 Conservation of linear momentum and Newton’s Law of Restitution

4.3 Newton’s Law of Restitution and collisions of a particle with a smooth plane

4.4 Problems involving successive impacts

4.5 Finding a change in energy due to an impact or application of an impulse

5. Statics of rigid bodies

5.1 Moments of forces acting on a body

5.2 Rigid bodies in equilibrium

5.3 Rigid bodies under the action of three non-parallel forces

5.4 Rigid bodies in limiting equilibrium

Review Exercise 2

Practice exam paper

Answers

Index