4. The moment of a force

Questions and discussion for this lecture live here. Fire away by hitting Reply below :fire:


Hello Sean,
I am having a refresher for my old courses and statics is the key for sure. Regarding the above screenshot, Force 3 is creating M3. Force 3 as resultant passing through the axis of rotation if i am not mistaken as per the scaled grid paper. Therefore, i am expecting 0 moment.
On the other hand, when mathematically decomposing the force and doing the math we have 9 N.m moment.
Am i missing something crucial here ? Or maybe visual misinterpretation from me about that ?

The fundamental takeaway is : Components moments of a force has to be equal to the moment created by the resultant right ?

I would really appreciate it once you have a chance please.
Thanks a lot and keep up the good work,
Your courses are amazing.
Thank you,
Burak

Hi @m.burakcakir33 - it’s an optical illusion! The resultant doesn’t pass through the origin - this is why there is a resultant moment. Pay special attention to the x-y position of the point of force application - for it to have passed through the origin the ratio of the orthogonal force components would have to match the ratio of the x and y coordinates.

All this is to say, your contention is correct…moments generated by the components of a force must match the moment generated by the resultant.

Enjoy the rest of the course.

S

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