(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A door made of a uniform piece of wood measures 1 m by 2 m and has a mass of 18 kg. The door is entirely supported by two hinges, one at the bottom corner and one at the top corner. Find the force (magnitude and direction) that the door exerts on each hinge. Assume that the vertical force on each hinge is the same.

2. Relevant equations

Torque=Force*Distance

3. The attempt at a solution

I've got the magnitudes of the hinges solved, and they coincide with what the answer is (99N).

What baffles me is the direction of the force of the door on the hinge. The book's answer is: for the top hinge, 99N 27^{o}right of vertical, and for the bottom hinge, 99N, 27^{o}left of vertical.

Basically, is this answer for a door with the hinges on the right or left? I think that this answer refers to the hinges on the right side of the door (I can go into the logic of my assumption if needed, but I'm not sure it's right). If this is the case, would hinges on the left side have forces of 99N 27^{o}leftof vertical, and for the bottom hinge, 99N, 27^{o}rightof vertical?

Conceptually, this problem isveryconfusing, and any help would be greatly appreciated. Thanks!

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# Homework Help: Static Equilibrium of door and hinge

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