A Uniform 9328N bar is supported at points A and B as Shown

A Uniform 9328-N bar is supported at points A and B as Shown in the figure. A force of 189.4 N is applied directly in the middle of the bar at C. (A stationary wall is along the left side) Determine the vectors A and B.

All other answers used some questionable formulas, would love if someone could go step by step using the formulas for stable equilibrium

Solution

Here ,

mass of bar , W = 9328 M

FC = 189.4 N

balancing the moment of forces about A

FB * cos(45) * L - (9328 - 189.4) * L/2 = 0

FB = 6462 N

the vector B is 6462 N

balancing the forces in vertical direction

FA + 189.4 + 6462 * cos(45) - 9328 = 0

FA = 4569 N

the force vector A is 4569 N