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

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A door measuring 1.02 m in width and 2.05 m in height weighs 289 N and is supported by two hinges positioned 0.600 m from the top and bottom. Each hinge bears half of the door's weight, resulting in 144.5 N supported by each hinge. The center of gravity is assumed to be at the center of the door. To determine the horizontal components of force exerted by each hinge, a free body diagram (FBD) should be drawn. The analysis of the forces will lead to the calculation of the horizontal forces acting on the door.
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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.
 
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guille1 said:
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?
 

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