A uniform 264 Newton trapdoor in a floor is hinged at one side. Determine the net upward force needed to begin to open it and the total force exerted on the door by the hinges in the following situations.
(a) if the upward force is applied at the center net upward force N total force exerted on the door by the hinges N
(b) if the upward force is applied at the center of the edge opposite the hinges net upward force N total force exerted on the door by the hinges N