## Principles of DynamicsAn exploration of the principles of dynamics. |

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### Contents

KINEMATICS OF A PARTICLE | 27 |

DYNAMICS OF A PARTICLE | 68 |

DYNAMICS OF A SYSTEM OF PARTICLES | 135 |

Copyright | |

6 other sections not shown

### Common terms and phrases

acceleration amplitude ratios angular momentum angular velocity applied forces Assuming axis of symmetry calculate Cartesian center of mass circular coefficient components conservative constant constraint forces coordinate system corresponding d'Alembert's principle degrees of freedom differential equations direction disk distance equal equations of motion Euler angles evaluated example expression external forces Figure fixed point force F forces acting friction function given in Eq Hence horizontal impulse inertia ellipsoid initial conditions instantaneous center integral kinetic energy Lagrange's equation length let us consider magnitude massless matrix mode moments of inertia moves natural frequencies Newton's law obtain orbit orthogonal particle of mass perpendicular plane potential energy principal axes products of inertia radius reference frame reference point relative result rigid body rocket rotational motion scalar seen shown in Fig sin2 sliding solve sphere steady-state transient solution translational unit vectors vertical virtual displacement write xyz system zero