# Which of the following is the correct relation between centroid (G) and the centre of pressure (P) of a plane submerged in a liquid?

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Which of the following is the correct relation between centroid (G) and the centre of pressure (P) of a plane submerged in a liquid?

(a) G is always below P

(b) P is always below G

(c) G is either at P or below it.

(d) P is either at G or below it.

This question was posed to me in homework.

This question is from Hydrostatic Force on Plane Area topic in chapter Hydrostatic Forces on Surfaces of Fluid Mechanics

## 1 Answer

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Right choice is (d) P is either at G or below it.

The explanation: The depth of the centroid y and the centre of pressure yCP are related by:

where I = the moment of inertia and A= area. None of the quantities I, A and y can be negative. Thus, YCP > y. For horizontal planes, I = 0, hence YCP = y

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