How Do Hinges Affect the Horizontal Force on a Door?

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SUMMARY

The discussion focuses on the analysis of horizontal forces exerted on a door supported by two hinges. A door measuring 1.00m in width and 2.5m in height, weighing 250N, has its center of gravity located at its midpoint. Each hinge, positioned 0.5m from the top and bottom, supports half the door's weight, resulting in equal vertical forces. The horizontal components of the forces exerted by the hinges must balance out to zero, confirming static equilibrium.

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  • Understanding of static equilibrium principles
  • Knowledge of force components in physics
  • Familiarity with moment calculations
  • Basic concepts of door mechanics
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This discussion is beneficial for physics students, mechanical engineers, and anyone interested in understanding the mechanics of door systems and hinge forces.

HarrisonColes
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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. [tex]\sum[/tex]a = [tex]\sum[/tex]c



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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