Hodder Education
Cambridge International AS & A Level Further Mathematics Further Mechanics
Cambridge International AS & A Level Further Mathematics Further Mechanics
US$ 40.79
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Exam board: Cambridge Assessment International Education
Level: A-level
Subject: Mathematics
First teaching: September 2018
First exams: Summer 2020

Endorsed by Cambridge Assessment International Education to provide full support for Paper 3 of the syllabus for examination from 2020.

Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.
- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points.
- Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking.
- Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.
- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the eTextbooks.*

*To have full access to the eBooks and Integral resources you must be subscribed to both Boost and Integral. To trial our eBook and/or subscribe to Boost, visit: www.hoddereducation.co.uk/Boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/international
Please note that the Integral resources have not been through the Cambridge International endorsement process.

Answers to exercise questions are on Cambridge Extras: www.hoddereducation.co.uk/cambridgeextras

This book covers the syllabus content for Further Mechanics, including motion of a projectile, equilibrium of a rigid body, circular motion, Hooke's law, linear motion under a variable force and momentum.

Language
English
ISBN
9781510422094
Cover
Title Page
Copyright
Contents
Introduction
How to use this book
The Cambridge International AS & A Level Further Mathematics 9231 syllabus
1 Motion of a projectile
1.1 Modelling assumptions for projectile motion
1.2 Projectile problems
1.3 Further examples
1.4 The path of a projectile
1.5 General equations
2 Moments of forces
2.1 Rigid bodies
2.2 Moments
2.3 Couples
2.4 Equilibrium revisited
3 Centre of mass
3.1 Centre of mass of a one-dimensional body
3.2 Centre of mass of two- and three-dimensional bodies
3.3 Sliding and toppling
4 Circular motion
4.1 Notation
4.2 Angular speed
4.3 Velocity and acceleration
4.4 The forces required for circular motion
4.5 Circular motion in a horizontal circle
4.6 Motion in a vertical circle
5 Hooke’s law
5.1 Strings and springs
5.2 Hooke’s law
5.3 Using Hooke’s law with more than one spring or string
5.4 Work and energy
5.5 Vertical motion
6 Linear motion under a variable force
6.1 Newton’s second law as a differential equation
6.2 Variable force examples
7 Momentum
7.1 Impulse
7.2 Conservation of momentum
7.3 Newton’s experimental law
7.4 Oblique impact of a sphere on a plane
7.5 Oblique impact of smooth elastic spheres
Index

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