CHAPTER 4 - Summary

CHAPTER 4 - Summary - CHAPTER 4 SUMMARY MOMENTS Vector...

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CHAPTER 4 – SUMMARY MOMENTS Vector quantity Units are [Force•Length] Moments in 2D Moments in 3D MF d = F = magnitude of the force d = perpendicular distance from point of interest to line of action of force In the typical 2D coordinate system: Counter Clockwise (CCW) +’ve Clockwise (CW) –‘ve MrF = × G G G r = G position vector from point of interest to any position on line of action of the force F = G force in vector notation In the typical 3D coordinate system: Positive moments move along positive axes Negative moments move alone negative axes Principle of Moments The moment of a force about a point is equal to the sum of the moments of the force’s components about the point () 12 1 2 FFF MrFrF r FF rF =+ =× +× =× + =× G GG GGG G G G G G Moment of a Force about a Specified Axis Use the triple scalar product: xyz aaa aa x y z uuu Mur F r r r =•×= G G G ,, represent the x,y,z components of the unit vector of the specified axis rrr
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This note was uploaded on 04/17/2008 for the course EGN 3311 taught by Professor Hudyma during the Spring '08 term at UNF.

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CHAPTER 4 - Summary - CHAPTER 4 SUMMARY MOMENTS Vector...

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