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Mathematics Mechanics 2 [ADVANCED HIGHER] abc Acknowledgement Learning and Teaching Scotland gratefully acknowledge this contribution to the National Qualifications support programme for Mathematics. First published 2002 © Learning and Teaching Scotland 2002 This publication may be reproduced in whole or in part for educational purposes by educational establishments in Scotland provided that no profit accrues at any stage. ISBN 1 85955 934 4 CONTENTS 1 Introduction Section 1: Motion in a horizontal circle with uniform angular velocity 3 Section 2: Simple harmonic motion 19 Section 3: Principles of momentum and impulse 35 Section 4: Principles of work and power 43 Section 5: Principles of energy 51 Section 6: Motion in a straight line, where the solution of first order differential equations is required 63 MECHANICS 2 (AH MATHEMATICS) iii iv MECHANICS 2 (AH MATHEMATICS)