A door of uniform thickness is made out of homogenous material. The door's mass is 40 kg, height 2 m, and width 0.8 m. It is hung on two vertical hinges. The hinges are on equal distance from the top and bottom of the door, and the distance between them is 1.50 m. The door puts equal burden on both hinges. Calculate the magnitude of the supporting forces that act on the hinges.
The Attempt at a Solution
I put one of the hinges as a point of rotation, r=0.85 and then I calculate the component of G orthogonal to that, G*cos(61.97...). I guess I'm not sure what force I'm supposed to calculate. And how are you supposed to draw the supporting forces? Because if they act on the point of rotation the system would still rotate?