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Edexcel AS and A Level Modular Mathematics Mechanics 3 M3

Edexcel AS and A Level Modular Mathematics Mechanics 3 M3

Keith Pledger

(2017)

Additional Information

Book Details

Abstract

Edexcel's own course for the GCE specification. Providing the best match to the specification, this book motivates students by making maths easier to learn. Written by chief examiners, it provides student-friendly worked examples and solutions, leading to a wealth of practice questions. Sample past exam papers are included for thorough exam preparation, and regular review sections help to consolidate learning. Opportunities for stretch and challenge are presented throughout the course, and an interactive FREE LiveText CD-ROM contains everything students need to motivate and prepare themselves. The all new Exam Cafe gives students revision advice, key ideas summaries and an abundance of exam practice, with hints and tips.


Table of Contents

Section Title Page Action Price
Front Cover Front Cover
Contents ii
About this book iv
Chapter 1: Further kinematics 1
1.1: Using calculus for a particle moving in a straight line with acceleration that varies with time 2
1.2: Using calculus for a particle moving in a straight line with acceleration that varies with distance 9
Chapter 2: Elastic strings and springs 19
2.1: Using Hooke’s law to solve equilibrium problems involving elastic springs or strings 20
2.2: Using Hooke’s law to solve dynamics problems involving elastic strings or springs 26
2.3: Finding the energy stored in an elastic string or spring 28
2.4: Solving problems involving elastic energy using the conservation of energy principle and the work–energy principle 30
Chapter 3: Further dynamics 37
3.1: Using calculus to apply Newton’s laws to a particle moving in a straight line when the applied force is variable 38
3.2: Using Newton’s law of gravitation to solve problems involving a particle moving away from (or towards) the Earth’s surface 45
3.3: Solving problems about a particle which is moving in a straight line with simple harmonic motion 48
3.4: Investigating the motion of a particle which is attached to an elastic spring or string and is oscillating in a horizontal line 57
3.5: Investigating the motion of a particle which is attached to an elastic spring or string and is oscillating in a vertical line 63
Review Exercise 1 75
Chapter 4: Motion in a circle 86
4.1: Calculating the angular speed of an object moving in a circle 87
4.2: Calculating the acceleration of an object moving on a horizontal circular path 89
4.3: Solving three-dimensional problems about objects moving in horizontal circle 95
4.4: Using vector notation to describe motion in a circle 101
4.5: Solving problems about objects moving in vertical circles 102
4.6: Solving problems where an object does not have to stay on the circle 108
Chapter 5: Statics of rigid bodies 118
5.1: Finding the centre of mass of a lamina using calculus 119
5.2: Finding the centre of mass of a uniform solid of revolution using symmetry and calculus 128
5.3: Solving problems about rigid bodies which are in equilibrium 137
5.4: Determining whether a body will remain in equilibrium or whether equilibrium will be broken by sliding or toppling 144
Review Exercise 2 155
Examination style paper 170
Answers 172
Index 179
Back Cover Back Cover