Finding the force F in order to develop a moment.

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To determine the required force F for developing a clockwise moment of 120 N*m at point A using a connected bar BC, the lever arm extension is given as 300 mm. The equation M = Fd is applied, where the angle of force F with the x-y coordinate system is crucial for accurate calculations. Initial attempts involved calculating the x length of BC and determining the angle, but errors arose from not properly accounting for the y-component of the moment. After revising the approach and considering the distance from A to C, the correct method was established. The discussion emphasizes the importance of accurately resolving forces and moments in mechanical systems.
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Homework Statement


The connected bar BC is used to increase the lever arm of the crescent wrench as shown.If a clockwise moment of Ma=120 N*m is needed to tighten the nut at A and the extension d=300mm, determine the required force F in order to develop this moment.


Homework Equations



M=Fd

The Attempt at a Solution



Wrote the x length of BC by multiplying 0.3m*cos30, then took the x-y coordinate system through the AB(for x) and perpendicular to the AB(for y).Tried to find the angle that F makes with the x-y (ABCx), found it as 45, but the result is not correct.
 

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Your method looks ok, so please post the details of your working.
 
I solved it, found the angle between my x-y then I multiplied Mx and My.When I tried to do it I wasnt adding the My.That's why my result was incorrect.I also found another method by finding the distance from A to C.Thank you for your reply.
 
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