1. The problem statement, all variables and given/known data Gate AB is a quarter-circle 10 ft wide and hinged at B. Find the force F just sufficient to keep the gate from opening. The gate is uniform and weighs 3000 lbf. Figure and solution attached. 2. Relevant equations 3. The attempt at a solution I've been able to figure out how to calculate FH and FV. What I'm struggling with is how to find the distances to calculate the moment arms. Its probably something really simple, but I don't understand where they got the 4R/3π or the 2R/π. I also don't understand how they took two different moments about point B? I only would've thought to do the second moment equation. What do they mean by sum of moments about B of FV? ΣMB(of FV ) = 8570x = 39936(4.0) - 31366(4.605) therefore x = 1.787 ft ∑M B(clockwise) = 0 = F(8.0) + (3000)(2.907) - (8570)(1.787) - (19968)(2.667) Any help is much appreciated!!