I on the moment equation here please

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The discussion centers on solving for the reaction forces Ay and Ax using the moment equation ∑Mb = 8(-P2) - 20(-P1) - 32(Ay) + 15Ax. The user confirms that P1 is defined as 270 - P2 and seeks clarification on the correctness of their moment equation and the relationships between the forces. They establish that the boundary conditions at points A and B lead to a system of four equations: two from the moment equations and two from the force equilibrium equations (TotalFy and TotalFx). The user questions the proper representation of Ax and Bx in the context of the cable's force components.

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I have come to the point in the equation where I need the moment equation to solve for Ay. I am not sure how to get By in term of Ay though. The moment equation I get for Ay is:

∑Mb = 8(-P2) - 20(-P1) - 32(Ay) + 15Ax

I know P1 = 270 - P2

However I am not sure if I even have Ay and Ax right in the ∑Mb equation. Where do I go from here?
 

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Because of the boundary conditions in points A and B, TotalMb and TotalMa should be zero. You could write two different equations from here, and 2 more equations comes from TotalFy and TotalFx. And here you go, you have 4 equations and 4 unknowns, which you can solve for all the unkowns
 
Do i have the ΣMb equation right if I wrote it equal to 0?

Ok so for the Fy = 0 equation it would be -Ay -P1 - P2 +By = 0

For the Fx = 0 equation it would be -Ax + Bx = 0 (However, is Ax and Bx the total force across the cable or are the broken up into three components?)
 

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