## Mathematics: Mechanics and ProbabilityDealing with mechanics and the solving of mechanical problems with the help of pure mathematics, this A-Level text introduces at an early stage an appreciation of the properties of vectors. Throughout the book problems are solved using vector methods where appropriate, and many worked examples are provided to illustrate each main development of a topic. A set of straightforward problems follows each section, and a selection of more challenging questions appears in the miscellaneous exercises at the end of most chapters, with multiple-choice questions on most topics. |

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### Contents

Vectors Components and Resultants Moment | 12 |

Coplanar Forces in Equilibrium Friction | 66 |

Velocity and Acceleration | 110 |

Newtons Laws of Motion | 149 |

Work and Power | 181 |

Hookes Law Energy | 199 |

Momentum Direct Impact | 232 |

Projectiles | 267 |

Simple Harmonic Motion | 382 |

Resultant Motion Relative Motion | 420 |

Resultants of Coplanar Forces Equivalent Force Systems | 454 |

Centre of Gravity | 498 |

Problems Involving Rigid Bodies | 545 |

Frameworks | 570 |

Probability | 587 |

Appendix | 632 |

### Common terms and phrases

acceleration angle angular applied attached axis ball block body Calculate centre of gravity circle complete components Consider constant couple diagram direction displacement distance elastic string energy equal equation equilibrium EXAMPLES EXERCISE Find fixed point forces acting given gives ground Hence horizontal impact impulse inclined increase initial km h-¹ lamina least length light line of action magnitude maximum modulus motion moving ms-¹ ms¹ natural length newton object parallel particle moves particle of mass passes path perpendicular plane position position vector possible probability problem projected radius reaches reaction relative represented resistance respectively rest resultant rough seconds Show sides smooth speed sphere straight line string surface taken taking tension throw travelling triangle uniform unit vector velocity vertical wall weight zero