Solving Moment and Cross-Product Problems with R

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To determine the moment of a force at point A about point P, the vector should be taken from P to A, not the other way around. The moment is calculated using the equation M = r x F, where r is the vector from the point of interest to the force application point. It's important to ensure the correct direction of the vector to avoid sign errors in the results. Additionally, when dealing with couple forces, the vector R should be defined between the forces, and you should multiply it by one of the forces to find the moment. Using the right-hand rule can help verify the direction of the moment.
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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
 
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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:
Torque_animation.gif

512px-Torque%2C_position%2C_and_force.svg.png


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