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elianaphys
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Homework Statement
A door made of a uniform piece of wood measures 1 m by 2 m and has a mass of 18kg. 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.
Homework Equations
The Attempt at a Solution
.5m*18kg*g-2m*F2=0
9mkg*g-2m*F2=0
F2=9mkg*g/2m
F2=44.145N
This is the incorrect answer. The correct answer is 99N at 27 degrees right of vertical at the top and at 27 degrees left of vertical at the bottom. I think I am having so much trouble getting to this correct answer because I keep finding the force that the hinges exert on the door rather than the force that the DOOR exerts on the HINGES. I'm very stuck.
FYI, I'm taking this through an online course and have thus have no instructor--just me and a textbook! Any help is sincerely appreciated!