Replace the force and couple system acting on the frame

Get the book here: amzn.to/2py6FIn
Replace the force and couple system acting on the
frame by an equivalent resultant force and specify where
the resultant’s line of action intersects member AB,
measured from A.
Replace the force and couple system acting on the
frame by an equivalent resultant force and specify where
the resultant’s line of action intersects member BC,
measured from B.

[@leroyjenkins8627]

Is the vertical component of the 50lbs not acting in the y direction to create a moment? If it is, how can we say the sum of all moments is equal to the sum of forces in the X times the distance?

[@razeenmanify]

I feel like this is because the total moment of the initial state, when we haven't replaced the forces, and the final state, when we've replaced them with the resultant force, is the same. When we have replaced the forces with a resultant force, only the Fx of the resultant force is perpendicular to the distance. We are doing this to find the distance of the resultant force from point A.

[@KarausMiller]

So the distance isn't 6ft?

[@KarausMiller]

where did you get 5.24 ft from

[@devincarvalho6450]

760.1/145=5.242

[@Owen999]

Why Ma=fx*d without fy*d ?

[@inky3443]

I am confused why Fy is not calculated 4:51, how is it on the same line when the 50lb force is not?

[@razeenmanify]

I feel like this is because the total moment of the initial state, when we haven't replaced the forces, and the final state, when we've replaced them with the resultant force, is the same. When we have replaced the forces with a resultant force, only the Fx of the resultant force is perpendicular to the distance. We are doing this to find the distance of the resultant force from point A.

[@KarausMiller]

got it

[@TheMustafaC]

Wtf bro this question is not 4-126 ????