## An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies |

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### Contents

Motion in a Straight Line | 5 |

Uniplanar motion where the accelerations parallel to fixed | 31 |

Uniplanar motion referred to Polar Coordinates | 43 |

Tangential and Normal Accelerations | 93 |

Motion in a Resisting Medium | 114 |

Oscillatory Motion | 131 |

Motion in Three Dimensions Accelerations in terms | 149 |

The Hodograph | 163 |

Motion in Two Dimensions Finite Forces | 226 |

Motion in Two Dimensions Impulsive Forces | 259 |

Instantaneous Centre | 272 |

Conservation of Linear and Angular Momentum | 295 |

Lagranges Equations in Generalised Coordinates | 318 |

Small Oscillations | 335 |

Motion of a Top | 349 |

Appendix on Differential Equations | 379 |

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### Common terms and phrases

acceleration acting action angle angular velocity attached axes axis becomes blow body centre centre of inertia circle circular coefficient component constant coordinates curve cylinder described diameter direction disc displaced distance elastic ellipse equal equation equation of motion equilibrium EXAMPLES fall fixed point force freely friction given gives gravity Hence horizontal plane impulsive inclined initial instantaneous integrating kinetic energy length length 2a mass moments momentum motion moves normal obtained origin parallel particle particle moves passes path pendulum period perpendicular placed position principal projected prove quantities radius reaction relative resistance respectively rest resultant revolves roll rotation rough shew side simple sliding small oscillation smooth horizontal sphere square starts straight line string surface tangent tension tube turn uniform rod unit varies vertical weight wire zero