1. The problem statement, all variables and given/known data To test the deflection of the uniform 270-lb beam the 120-lb boy exerts a pull of 35 lb on the rope rigged as shown. Compute the force supported by the pin at the hinge O. I have attached an image of the question. 2. Relevant equations ƩMO = 0 ƩFx =0 ƩFy =0 3. The attempt at a solution My first thought is to find the moment about point O, for which I could then solve for the force at point A. 0 = -A(1.9') + (270lb)(5.45') + T(8.5') + (120lb)(7.0') A = 1373.157 lb However I'm not sure whether I have the right center of gravity of the beam, because I'm unsure whether the ball at point A (or whatever that is) alters it. So would the center of gravity of the beam be at 5.45' or at 4.5'? Also, am I correct in assuming that the 35lb force that the boy applies to the rope is transferred completely to the rope that is 8.5' away from O? Assuming that I am correct, I did the following then found the force in the y direction at the point O, Fo 0 = Foy +Ay -270lb -120lb -35lb Foy = -Ay + 270 + 120 + 35 F0y = -948.157895 I tried entering 948.15 as I had thought that perhaps it wanted the magnitude of the force but it didn't accept this.