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The highest and lowest vertices of a diagonal of a square lamina (each side equal to 4m) are 1 m and 3 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?

(a) 1.08

(b) 1.58

(c) 2.08

(d) 2.58

I got this question in quiz.

Query is from Hydrostatic Force on Plane Area topic in division Hydrostatic Forces on Surfaces of Fluid Mechanics

1 Answer

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Best answer
Right answer is (c) 2.08

Easiest explanation: where I = the moment of inertia and A= area and θ = the angle of inclination of the lamina to the horizontal. Now, y = 1 + 3 – 1 / 2 = 2m, each side of the lamina =  =8; sin θ = 3-1/4 = ^ 1 ⁄ 2. Thus, yCP = 2.08m.

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