Solving Moment Problem with Attached Image

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The forum discussion centers on solving a moment problem involving two forces and determining the resultant moment about the Oa axis. The user has submitted their calculations, which include an 80 lb force, and seeks assistance due to suspected algebraic errors. The correct answer, as per the textbook, is [26.1i - 15.1j] lb*ft. The user questions the role of the perpendicular component of F1 in creating torque and identifies a potential error in the use of the \hat{k} unit vector in their moment vector.

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staics help please!

Please help with this problem.. I'm going crazy.

I have attempted the problem and i think my methods are correct. however some algebra mistake is also there i think.

im submitting my work on the thread below

Question: Determine the resultant moment of the two forces about the Oa axis. express the result as a Cartesian vector.

The picture is attached.
Note*: its 80lb that's a bit smudged on the right of the attachment.
 

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here is my work

the book answer is : [26.1i - 15.1j] lb*ft
 

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Isn't it the perpendicular component of F1 that creates the torque about the Oa axis? Also the [tex]\hat{k}[/tex] in [tex]\vec{m_1}[/tex] seems to be incorrect anyways.
 
Last edited:

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