A 30 kg rod one meter long is supported by a hinge A hanging from the ceiling. The rod rests on a peg "C" at a point .7 meters along the rod away. A vertical force of 1000 N is applied to the end of the rod. The rod rests at an angle of 30 degress from the vertical. Find the x and y components of the forces on the rod at the hinge point A and the peg C. To solve this I set up equilibrium equations. A(x) + C(x) = 0 (force of hinge in x direction, force of peg in x direction) A(y) + C(y) -Mg - 1000 = 0 With an axis through the peg and counting counterclockwise as positive: .7[A(x) sin 60 -A(y) sin 30] + .2(Mg sin 30) - .3(1000 sin 30) = 0 But there are 4 unknowns here and only three equations to solve them. I don't see any way I could get a relation between two of the quantities for the forth equation.