Solving Moment and Cross-Product Problems with R

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bigu01
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Dear friends, and science lovers,

I am doing some statics problems with moment( cross-product).And I've been having some problems solving them.I am getting the result but in opposite sign. I mean I know we have to do R x F , but looks like I am taking R in the wrong a. For example we have to determine the moment of a force at A about point P.Should I find the vector from A to P or from P to A.Same thing in the couple forces, where we have to find the vector R between the couple forces and to multiply with one of the forces.I am getting that vector but I don't know with which force to multiply.If you can help me clear this thing on my mind I would be really thankfull.

Kind regards,

Astrit Imeri

ME student
 
Moments are taken about a point. In the expression ##\vec{M} = \vec{r} \times \vec{F}##, the vector ##\vec{r}## is from the point you are taking moments about to the point of application of the force ##\vec{F}##. The following graphics (borrowed from Wiki) should illustrate this:
3D diagram of a wheel on an axle with a blue upward-pointing vector arrow and a red arrow for force F; labels read τ = r × F and L = r × p.

Vector diagram of a moment: position vector r runs from a point marked tau to the point where force F acts, with F split into a perpendicular component F-perp and a parallel component F-parallel, and angle theta between F and F-parallel.


You can check your results using the right hand rule (assuming you're using a right-handed coordinate system!).