## The application of vectors in velocity and acceleration analyses of mechanisms |

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### Contents

PLANE COMPLEX MECHANISM | 7 |

THE FOURBAR SPACE MECHANISM | 16 |

ANALYSIS OF A SPECIAL UNIVERSAL | 38 |

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_n _ _t _ 2cos Acceleration Analysis acceleration of link acceleration of point axis based on constant calculated constant input angular cos^sin2 cos0 cos2 cosacos cosc cosO equation 16 equation 23 equation 9 equations are obtained expressed formed by radii functions of input hinge joints i,j,k components input angle input angular velocity magnitude normal acceleration components obtained from equation output shaft plane formed positive triple quantity r^cosO r^cosO^i r^sinO r^xr r^ycos^cosO r^zsin0 r4ycos0sinO rad./sec relative angular acceleration relative angular velocity respect to link rjcosOj rjsinOj scalar product shaft intersection angle shaft rotation angle shown in Fig sin0 sin0sinO sin2 sin2o sinO sinO2 Space Mechanisms special universal joint Substituting equation tangential acceleration terms of angles three equations unit vector University of Wisconsin vector notation vector product vector representation vector triple product velocities and accelerations velocity analysis velocity of link velocity solutions x-axis