Weight of a 1.02m x 2.05m Door Supported by Two Hinges

[guille1]

A door of width 1.02 m and height 2.05 m weighs 289 N and is supported by two hinges, one 0.600 m from the top and the other 0.600 m from the bottom. Each hinge supports half the total weight of the door.

Assuming that the door's center of gravity is at its center, find the horizontal components of force exerted on the door by each hinge.

 

[berkeman]

A door of width 1.02 m and height 2.05 m weighs 289 N and is supported by two hinges, one 0.600 m from the top and the other 0.600 m from the bottom. Each hinge supports half the total weight of the door.

Assuming that the door's center of gravity is at its center, find the horizontal components of force exerted on the door by each hinge.

Draw the FBD and then what do you do?