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A square gate of size 1mxx1m is hinged a...

A square gate of size `1mxx1m` is hinged at its mid point. A fluid of density `rho` fill the space to the left of the gate. The force F required to hold the gate stationary is

A

`rhog//3`

B

`(1//2)rhog`

C

`rhog//6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`F_1=((rhogh)/2)bh, b=h=1m`
`F_1=(rhog)/2bh^2=(rhog)/2`
Torque about hinge in zero.
`F_1[2/3-4/2]=Fxx1/2impliesF=(rhog)/6`
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