## Formulas for Dynamic Analysis"Explains and summarizes the fundamental derivations, basic and advanced concepts, and equations central to the field of dynamics. Chapters stand as self-study guides-containing tables, summaries of relevant equations, cross references, and illustrative examples. Utilizes Kane's equations and associated methods for the study of large and complex multibody systems." |

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### Contents

Introduction | 1 |

Vector Analysis and Preliminary Considerations | 12 |

Kinematics of Particles | 70 |

Particle Kinetics | 107 |

Particle Dynamics | 148 |

Kinematics of Bodies | 185 |

Body | 252 |

Additional TopicsFormulas in Kinematics of Bodies | 269 |

Mass Distribution and Inertia | 298 |

Rigid Body Kinetics | 359 |

Rigid Body Dynamics | 412 |

Example ProblemsSystems | 473 |

Multibody Systems | 543 |

Multibody Kinematics | 559 |

Multibody Kinetics and Dynamics | 593 |

614 | |

### Common terms and phrases

analysis angular acceleration angular momentum applied forces axis body B moving Cartesian center G configuration graph constraint contact forces coordinates qr d'Alembert's principle defined degrees of freedom derivatives differential direction disk dt dt elements Euler parameters Example expressed in terms force F Free-Body Diagram freedom represented gravitational forces impact inertia forces inertial reference frame Kane's equations kinematic kinetic energy Lagrange's equations linear locating P relative lower body arrays magnitude mass center mechanical system moments of inertia motion Multibody Dynamics multibody system mutually perpendicular unit obtain orientation angles partial angular velocity partial velocity perpendicular unit vectors plane position vector products of inertia R. L. Huston reference point represented in Figure rigid body rolling scalar Section set of particles simple single force Specifically speed spherical spring substituting from Equations T. R. Kane Table transformation matrix unit vector sets unit vectors fixed unit vectors parallel vertical zero