How Do Hinges Affect the Horizontal Force on a Door?

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The discussion focuses on calculating the horizontal forces exerted by two hinges on a door that is 1.00m wide, 2.5m high, and weighs 250N. Each hinge, positioned 0.5m from the top and bottom, supports half the door's weight. It is noted that the horizontal components of the forces from both hinges must sum to zero. The conversation includes a hint about taking moments around the door's center to analyze the forces. Understanding these principles is crucial for accurately determining the hinge forces on the door.
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1. A door 1.00m wide and 2.5m high weighs 250N and is supported by two hinges, one 0.5m from the top and the other 0.5m 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.



2. \suma = \sumc



3. Taking moments about the middle of the door but unsure of the values of the equation
 
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HarrisonColes said:
… Taking moments about the middle of the door…

Hi Harrison! :smile:

Hint: the horizontal components of the forces on the two hinges will add to zero. :smile:
 

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