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

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SUMMARY

The discussion focuses on calculating the horizontal components of force exerted on a door measuring 1.02 m in width and 2.05 m in height, weighing 289 N, supported by two hinges positioned 0.600 m from the top and bottom. Each hinge supports half the total weight, resulting in a vertical force of 144.5 N per hinge. The center of gravity is assumed to be at the center of the door, which is crucial for determining the forces acting on the hinges. A Free Body Diagram (FBD) is recommended as the first step in analyzing the forces.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and moments.
  • Familiarity with Free Body Diagrams (FBD) for visualizing forces.
  • Knowledge of static equilibrium conditions in mechanics.
  • Ability to perform calculations involving weight distribution and hinge support.
NEXT STEPS
  • Learn how to construct and analyze Free Body Diagrams (FBD) for complex structures.
  • Study the principles of static equilibrium in mechanical systems.
  • Explore the calculation of horizontal and vertical force components in hinge-supported structures.
  • Investigate the effects of varying hinge placements on force distribution in doors.
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in structural analysis or door design will benefit from this discussion.

guille1
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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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