Hydraulics and Fluid Mechanics in ME
Centre of buoyancy always

remains above the centre of gravity
coincides with the centre of gravity
remains below the centre of gravity
coincides with the centroid of the volume of fluid displaced

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Hydraulics and Fluid Mechanics in ME
A floating body is said to be in a state of stable equilibrium

when the metacentre is below the centre of gravity
when its metacentric height is zero
when the metacentre is above the centre of gravity
only when its centre of gravity is below its centre of buoyancy

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Hydraulics and Fluid Mechanics in ME
The discharge through a channel of trapezoidal section is maximum when

Depth of channel is equal to the width at the bottom
The sloping side is equal to half the width at the top
The sloping side is equal to the width at the bottom
Width of channel at the top is equal to twice the width at the bottom

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