Mechanics 1 (Edexcel AS and A level Modular Math)

About this book

1. Mathematical models in mechanics

1.1 Different modelling assumptions, and how they affect calculations

2. Kinematics of a particle moving in a straight line

2.1 Formulae for a particle moving in a straight line with constant acceleration

2.2 Further formulae for a particle moving in a straight line with constant acceleration

2.3 Using the formulae for constant acceleration to model an object moving vertically in a straight line under gravity

2.4 Representing the motion of an object on a speed–time or distance–time graph

3. Dynamics of a particle moving in a straight line

3.1 Using the formula F = ma to solve problems involving force and acceleration

3.2 Solving problems involving forces by drawing diagrams and resolving

3.3 Resolving forces that act at an angle to find the component that acts in a certain direction

3.4 Calculating the magnitude of the frictional force using the coefficient of friction

3.5 Solving problems about particles on inclined planes by resolving forces parallel and perpendicular to the plane

3.6 Solving problems involving connected particles by considering the particles separately

3.7 Calculating the momentum of a particle and the impulse of a force

3.8 Solving problems involving collisions using the principle of Conservation of Momentum

Review Exercise 1

4. Statics of a particle

4.1 Solving problems about particles in equilibrium by resolving forces

4.2 Knowing when to include additional forces, such as weight, tension, thrust, normal reaction and friction

4.3 Solving statics problems involving friction using the relationship F ≤ μR

5. Moments

5.1 The moment of a force acting on a body

5.2 The sum of the moments of a set of forces acting on a body

5.3 Solving problems about bodies in equilibrium by equating clockwise and anticlockwise moments

5.4 Solving problems about non-uniform bodies by finding or using the centre of mass

6. Vectors

6.1 Vectors to describe displacements

6.2 Adding vectors, and representing vectors using line segments

6.3 Describing vectors using i, j notation

6.4 Solving problems using vectors

6.5 The velocity of a particle as a vector

6.6 Solving problems involving velocity and time using vectors

6.7 Using vectors to solve problems about forces

Review Exercise 2

Examination style paper

Index