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https://www.dropbox.com/s/mw1ol8tnrdf0ajb/fm%20prob.JPG?dl=0 [/B]

## Homework Statement

https://www.dropbox.com/s/mw1ol8tnrdf0ajb/fm%20prob.JPG?dl=0 [/B]

A 1-m wide by 2-m gate in the vertical wall of a reservoir functions like a door. It is hinged at A and B and latched at C. Determine the forces at A, B, and C when the water surface is 700 mm above the top of the gate.

Hinge A is 0.3 m below the top-left corner of the door

Hinge B is 0.3m above the bottom-left corner of the door

Latch C is in the middle of the right edge of the door.

(Answers:

Force at A 3.57kN

Force at B 13.10kN

Force at C 16.68kN)

*2. Homework Equations*F = (rho)(g)(hcg)A gives the resultant force on the full door

Ycp = Ycg + (Icg/(Ycg. A)) gives the center of pressure

*3. The Attempt at a Solution*The resultant force was calculated by the above equations but I am struggling to find forces at the particular points A, B and C

Any help will be greatly appreciated

Thanks

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