Mechanics 4 (Edexcel AS and A level Modular Math)

About this book

1. Relative motion

1.1 Relative displacement

1.2 Problems involving relative velocity

1.3 Problems involving water current and wind effects

1.4 Problems involving one body intercepting (or colliding with) another body

1.5 Problems involving closest approach

1.6 Problems involving setting a course to achieve closest approach

2. Elastic collisions in two dimensions

2.1 Problems involving the oblique impact of a smooth sphere with a fixed surface

2.2 Problems involving the oblique impact of two smooth spheres

3. Resisted motion of a particle moving in a straight line

3.1 Using calculus when a particle moves in a straight line against a resistance which varies with the speed of the particle

3.2 Modelling the resistance to an object moving in a straight line under gravity using functions of velocity

3.3 Using calculus when a particle, with an engine working at a constant rate, moves in a straight line against a resistance which varies with the speed of the particle

Review Exercise 1

4. Damped and forced harmonic motion

4.1 Investigating the motion of a particle which is moving under the influence of a restoring force proportional to the particle’s displacement and a resistance which is proportional to its speed

4.2 Investigating the motion of a particle which is subject to the same two forces as in the previous section but is also forced to oscillate with a frequency other than its natural one

5. Stability

5.1 Using potential energy to find positions of equilibrium and to test for stability

Review Exercise 2

Practice examination paper

Answers

Index