A square gate of size 2m x 2m is hinged at its mid-point. A fluid of density σ fills the space to the left of the gate. The force F required to hold the gate stationary is:
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a
2σg3
b
4gσ3
c
8σg3
d
σg3
answer is B.
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Detailed Solution
Take torque about hinge O∫02σgy(2dy)(y-1)=F×1 2σgy33-y2202=F F=4gσ3