Calculating Magnitude of Forces on a Door

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To calculate the supporting forces on the hinges of a door, the mass of the door (40 kg) and its dimensions (2 m height, 0.8 m width) are essential. The hinges are spaced 1.50 m apart and equally support the door's weight. The gravitational force acting on the door is calculated using G=mg, which leads to a total weight of 392 N. By considering one hinge as a pivot point and analyzing the forces, the supporting forces can be determined. Providing a clear model answer would benefit others seeking solutions to similar problems.
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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?
 
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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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