## Analytical elements of mechanics. 1 |

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### Contents

VECTOR ALGEBRA | 1 |

Vector Addition | 7 |

Vector Multiplication of Vectors | 31 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

action of F action passes angle bound vectors called cartesian coordinate system components contact forces exerted continuous body couple of torque couple whose torque curve Definition Determine the magnitude distance dot product equal to zero equivalent evaluate expressed F whose line Force equations force F force system force whose line forces shown ft lb gravitational force exerted Hence intersect law of cosines length line of action Locate the centroid magnitudes of F mass center measure numbers moments Ms/A mutually perpendicular unit particle of mass passes through point perpendicular unit vectors plane free-body diagrams points Pi position vector PROBLEM SET reaction Referring to Fig Referring to Problem relative replaced resolute resultant scalar equations set of points shaft shown in Fig shows simple couple single force slug Solution sphere strengths Substitute into Eq system of contact system of forces three forces traction unit vector parallel wire zero system zero vector