## Analytical Method in Dynamics |

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### Contents

I TWODIMENSIONAL DYNAMICS | 1 |

H THREEDIMENSIONAL DYNAMICS | 22 |

in APPLICATIONS OF MOVING AXES | 41 |

3 other sections not shown

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### Common terms and phrases

arbitrary constants axes are fixed axes fixed axes Oxyz axes through G base point bead bullet centroid G component angular velocities component velocities concentrated at G const constant angular velocity coordinates curvature denote determine the motion differential distance elliptic functions energy equation equal equations of motion Euler's Euler's equations fixed axes fixed in space fixed origin fixed point forces acting formulae G were fixed Hence hypothetical particle inertia instant instantaneous axis instantaneous centre integral kinetic energy linear momentum locus of Q mass M concentrated moments of inertia momentum about G motion relative moving axes parallel to Ox particle of mass point of contact polhode cone position vector precession principal normal products of inertia radius rate of change relative to G right angles rigid body rotating with angular set of axes sin2a solution sphere take moments tangent tension throughout the motion true components unit vector vanishes wire