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jdawg
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Homework Statement
A rectangular plate AB is 1.8 [m] wide and 2.0 [m] long. As shown below the plate is used to keep water (blue region) confined to the region. Find the weight of the gate necessary to keep the water enclosed. Assume the hinge at A is frictionless.
Homework Equations
The Attempt at a Solution
I used 9810 N/m^33 for the specific weight of water.
tanθ=4/3
θ=53.13°
A=(2m)(1.8m)=3.6m2
hCG=(2m)+(1m)sin(53.13)=2.8m
FH2O=(9.807)(1.6)(3.6)=98884.8 N
Ixx=((1.8m)(2m)3)/12 =1.2m4
ycp=(-Ixx)sinθ)/(hCGA)= - 0.09508m
MA=0=(By)(2)cos(53)-W(1)cos(53)+FH2O(1)cos(53)-FH2O(1)sin(53)
I'm not really sure if I'm correct up to this point. Is my placement of theta in the free body diagram correct?
Thanks!
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