Mechanics 3 (Edexcel AS and A level Modular Math)

About this book

1. Further kinematics

1.1 Using calculus for a particle moving in a straight line with acceleration that varies with time

1.2 Using calculus for a particle moving in a straight line with acceleration that varies with distance

2. Elastic strings and springs

2.1 Using Hooke’s law to solve equilibrium problems involving elastic springs or strings

2.2 Using Hooke’s law to solve dynamics problems involving elastic strings or springs

2.3 Finding the energy stored in an elastic string or spring

2.4 Solving problems involving elastic energy using the conservation of energy principle and the work–energy principle

3. Further dynamics

3.1 Using calculus to apply Newton’s laws to a particle moving in a straight line when the applied force is variable

3.2 Using Newton’s law of gravitation to solve problems involving a particle moving away from (or towards) the Earth’s surface

3.3 Solving problems about a particle which is moving in a straight line with simple harmonic motion

3.4 Investigating the motion of a particle which is attached to an elastic spring or string and is oscillating in a horizontal line

3.5 Investigating the motion of a particle which is attached to an elastic spring or string and is oscillating in a vertical line

Review Exercise 1

4. Motion in a circle

4.1 Calculating the angular speed of an object moving in a circle

4.2 Calculating the acceleration of an object moving on a horizontal circular path

4.3 Solving three-dimensional problems about objects moving in horizontal circle

4.4 Using vector notation to describe motion in a circle

4.5 Solving problems about objects moving in vertical circles

4.6 Solving problems where an object does not have to stay on the circle

5. Statics of rigid bodies

5.1 Finding the centre of mass of a lamina using calculus

5.2 Finding the centre of mass of a uniform solid of revolution using symmetry and calculus

5.3 Solving problems about rigid bodies which are in equilibrium

5.4 Determining whether a body will remain in equilibrium or whether equilibrium will be broken by sliding or toppling

Review Exercise 2

Examination style paper

Answers

Index