Calculating Moment About Axis AC for a Given Force Vector

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SUMMARY

The discussion focuses on calculating the moment about axis AC for a given force vector F = <7, 12, -6>. The solution involves using the unit vector Uac = <0.8, 0.6, 0> and the vector Rab = <4, 3, -2>. The cross product Rab X F results in <6, -10, 0>, leading to a moment calculation of MomentAC = -1.2. The final moment vector is derived as MomentAC * Uac = <-.96, -.72, 0>.

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Homework Statement


http://session.masteringengineering.com/problemAsset/1127287/7/Probs._454_55.jpg
Find the moment about the axis AC. F=<7,12,-6>


Homework Equations


MomentAC = Uac dotted with (Rab X F)
Uac is the unit vector from a to c


The Attempt at a Solution


Uac=<.8,.6,0>
Rab=<4,3,-2>
F=<7,12,-6>
Rab X F =<6,-10,0>
MomentAC=4.8-6
=-1.2
MomentAC*Uac=<-.96,-.72,0>
 
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