A square gate of size 4 m 4 m is hinged at topmost point. A liquid of density fills the space left of it. The force which acting at a height 1 m from lowest point can hold the gate stationary is 2^N 0 g . The value of ' N ' is

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Force acting on any elementary strip at a distance y from O d F=( g y)(a d y) Torque about O aligned d & =y(d F) d & =y(d F) d & = ( g y^2 a ) d y aligned Net torque = ₀^a ( g y^2 ) d y= . g a y^2 3 |₀ ^a

A square gate of size 4 m 4 m is hinged at topmost point. A liquid of density fills the space left of it. The force which acting at a height 1 m from lowest point can hold the gate stationary is 2^N 0 g . The value of ' N ' is

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