Statics Question: Finding Resultant Moment

AI Thread Summary
The discussion focuses on calculating the resultant moment produced by two forces about point O. The user breaks down the forces into their components and calculates their moments, taking counterclockwise as positive and clockwise as negative. The resultant moment is computed as -268.33 Nm, indicating a clockwise direction. There is confusion regarding the direction of the X components and their impact on the moment. Overall, the calculations appear correct, and the user seeks confirmation before finalizing their homework.
Chandasouk
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Determine the magnitude of the resultant moment produced by the forces about point O

Determine the direction of the resultant moment produced by the forces about point O

I first break the forces down to their components.

F1x = 500(4/5)

F1y=500(3/5)

F2x=600cos(60)

F2y=600sin(60)

The problem for me is when it comes time to add their moments. I am taking counter clockwise to be POSITIVE and clockwise to be NEGATIVE.

MF1x= -500(4/5)(0.25) = -100

MF1y= 500(3/5)(0.425) = 127.5

MF2x= -600cos(60) (0.25)=-75

MF2y= -600sin(60)(0.425) = -220.836478

so ƩM = -268.33 Nm turning clockwise?

The directions of the X components are confusing me, I would imagine they would cause the object to turn clockwise? I have only a few tries left on my HW so I just wanted to be sure of my answer.
 
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Your work looks good to me. (I don't see why you find the x components confusing.)
 

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