Calculating Magnitude of Forces on a Door

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SUMMARY

The discussion focuses on calculating the magnitude of supporting forces acting on a door with a mass of 40 kg, height of 2 m, and width of 0.8 m, which is hung on two vertical hinges spaced 1.50 m apart. The user initially struggled with identifying the correct forces and their components, particularly the gravitational force (G) and its orthogonal component. The final solution involves using the moment equation (M=Fr) to determine the forces acting on the hinges, ensuring that the system remains in equilibrium.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with moment calculations (M=Fr)
  • Knowledge of gravitational force (G=mg)
  • Ability to analyze forces acting on a rigid body
NEXT STEPS
  • Study the concept of torque and its application in static systems
  • Learn about free-body diagrams for visualizing forces
  • Explore the effects of hinge placement on load distribution
  • Investigate the role of friction in hinge mechanics
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and anyone involved in mechanical design or structural analysis, particularly those working with static systems and force calculations.

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Homework Statement



A door of uniform thickness is made out of homogenous material. The door's mass is 40 kg, height 2 m, and width 0.8 m. It is hung on two vertical hinges. The hinges are on equal distance from the top and bottom of the door, and the distance between them is 1.50 m. The door puts equal burden on both hinges. Calculate the magnitude of the supporting forces that act on the hinges.

Homework Equations


M=Fr, G=mg


The Attempt at a Solution


I put one of the hinges as a point of rotation, r=0.85 and then I calculate the component of G orthogonal to that, G*cos(61.97...). I guess I'm not sure what force I'm supposed to calculate. And how are you supposed to draw the supporting forces? Because if they act on the point of rotation the system would still rotate?
 
Last edited:
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Nvm, got it now.
 
Well done - a bit frustrating for people who google to your post looking for an answer though.
Perhaps you can give those folk a model answer to your problem as you see it?
 

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