1. The problem statement, all variables and given/known data A man stands on the edge of a deck of width W = 4.8 m. His mass is m1 = 73 kg, and the deck's mass is m2 = 600 kg, uniformly distributed over its surface. The deck is held in place by a support beam which is forming and angle theta = 37 deg with the side of the house. .......\o/ ......../\ |----- |...../ F |..../ |.../ |../ |./ |/ <= 37 1. Calculate the torque around point A due to the weight of the man. 2. Calculate the torque around point A due to the weight of the deck. 3. Calculate the force F that the deck is exerting on the support beam. I found the answers to 1 and 2 pretty easily (I posted them in case of relevance), I cannot for the life of me figure out 3 though. The answer is supposed to be 4580 N. The closest I get is 4880. 2. Relevant equations T=Frsin(Θ) 3. The attempt at a solution 1. T = FrsinΘ T = marsinΘ T = 3433.92 Nm 2. T = FrsinΘ T = ma(r/2)sinΘ T = 14112 Nm 3. Draw the free body diagram. This is where I start to have problems. .......\o/ ..(w) /\ |----- |...../ F |..../ |.../ |../ |./ |/ <= 37 First, I want the hinge to be at the upper left hand corner. So, I know that the wall exerts a force in x (w), I know that there is a force of friction between the wall and the deck/ plank. I know that the force F needs to be divided in x and y. I know that the center of mass of the plank is in the middle, which is where there is the force of the weight and I think (I'm not sure) that there should be a normal force from where the support beam, well, supports the deck. If I am correct, then: ∑Fy = 0 ∑Fy = N + Ff - mg - Fy and ∑Fx = 0 ∑Fx = Fwall - Fx. There are too many unknown variables though. I don't have the coefficient of kinetic friction, I don't know how to calculate the normal force and I have no values for the force of the wall. I must be doing something wrong. Please help! I'm getting that frustrated knot in my stomach. I'm into my third hour of just this problem now.