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Mechanics [electronic resource]
להגדלת הטקסט להקטנת הטקסט- ספר
This brand new series has been written for the University of Cambridge International Examinations course for AS and A Level Mathematics (9709). This title covers the requirements of M1 and M2. The authors are experienced examiners and teachers who have written extensively at this level, so have ensured all mathematical concepts are explained using language and terminology that is appropriate for students across the world. Students are provded with clear and detailed worked examples and questions from Cambridge International past papers, so they have the opportunity for plenty of essential exam
| כותר |
Mechanics [electronic resource] / Sophie Goldie [endorsed by University of Cambridge International Examinations]. [Cambridge International AS and A level mathematics ] |
|---|---|
| מוציא לאור |
London : Hodder Education |
| שנה |
2012 |
| הערות |
Includes index. English |
| הערת תוכן ותקציר |
Cover Book title Contents Key to symbols in this book Introduction The Cambridge International AS and A Level Mathematics syllabus M1 Mechanics 1 Chapter 1 Motion in a straight line The language of motion Speed and velocity Acceleration Using areas to find distances and displacements Chapter 2 The constant acceleration formulae Setting up a mathematical model The constant acceleration formulae Further examples Chapter 3 Forces and Newton's laws of motion Force diagrams Force and motion Pulleys Reviewing a mathematical model: air resistance Chapter 4 Applying Newton's second law along a lineNewton's second law Newton's second law applied to connected objects Chapter 5 Vectors Adding vectors Components of a vector The magnitude and direction of vectors written in component form Resolving vectors Chapter 6 Forces in equilibrium and resultant forces Finding resultant forces Forces in equilibruim Newton's second law in two dimensions Chapter 7 General motion in a straight line Using differentiation Finding displacement from velocity The area under a velocity-time graph Finding velocity from acceleration The constant acceleration formulae revisitedChapter 8 A model for friction A model for friction Modelling with friction Chapter 9 Energy, work and power Energy and momentum Work and energy Gravitational potentional energy Work and kinetic energy for two-dimensional motion Power M2 Mechanics 2 Chapter 10 Motion of a projectile Modelling assumptions for projectile motion Projectile problems The path of a projectile General equations Chapter 11 Moments of forces Rigid bodies Moments Couples Equilibrium revisited Chapter 12 Centre of mass Composite bodies Centre of mass for two- and three-dimensional bodiesSliding and toppling Chapter 13 Uniform motion in a circle Notation Angular speed Velocity and acceleration The forces required for circular motion Examples of circular motion Chapter 14 Hooke's law Strings and springs Hooke's law Using Hooke's law with more than one spring or string Vertical motion Chapter 15 Linear motion under a variable force Newton's second law as a differential equation Variable force examples Answers Index A B C D E F G H I J K L M N O P R S T U V W Y |
| היקף החומר |
1 online resource (370 p.) |
| שפה |
אנגלית |
| מספר מערכת |
997012132150305171 |
תצוגת MARC
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