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Q.

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
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