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Lecture07_ME343F09

# Lecture07_ME343F09 - ME343-Dynamics of Machinery Velocity...

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ME343-Dynamics of Machinery - Velocity Analysis Oct. 19 th , 2009

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Graphical Determination of Vector Magnitudes For problems where the magnitude of two vectors in an equation must be determined, the equation should be rearranged so that one unknown vector is the last term on each side of the equation . E D C B A + = + + magnitude. unknown are and B A A E D B C - + = + It should be rearranged as
Example E D C B A + = + + E D A C B + = + + The direction for vectors, A, B, C, D, and E are known. The magnitudes of vectors B, C, and D are known. Graphically determine the magnitudes of vectors A and E. ‘O’ as common origin Direction of ‘A’ Direction of ‘E’ B C D A complete Vector Polygon can be constructed. The point of intersection of the two lines defines the magnitude of vectors A and E.

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Graphical Velocity Analysis: Relative Velocity Method Graphical Velocity Analysis will determine the velocity of mechanism points in a single configuration. Note that once the mechanism moves, the configuration changes, and correspondingly the velocities also change. The basis of the “relative velocity method ” of analysis: Two points which lie on the same link can only have a relative velocity in a direction perpendicular to the line that connects the two points.
Relative velocity of two points on the same link BA A B r v / = ϖ A B v / = the distance between points A and B = the velocity of point B “as observed” from point A BA r (Direction of this angular velocity is consistent with ) A B v /

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• Fall '09
• varischetti
• Velocity, velocity analysis, Analytical Velocity Analysis, instant center, Rectilinear Translation, Instant Center of Velocity

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