## 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 |

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### Common terms and phrases

acceleration angle angular momentum angular velocity 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 dynamics earth equal equations of motion Euler angles evaluated example expression external forces Figure fixed point force F forces acting function given in Eq Hence horizontal impulse inertial frame initial conditions instantaneous center integral kinetic energy Lagrange's equation law of motion length let us consider linear momentum magnitude matrix mode moments of inertia moves Newton's law nonrotating obtain orbit orthogonal particle of mass path perpendicular plane position vector potential energy principal axes radius reference frame reference point relative result rigid body rotational motion scalar seen shown in Fig sliding solve sphere transient solution translational unit vectors vertical virtual displacement xyz system zero