A triangular lamina of area a and height h


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A triangular lamina of area A and height h is immersed in a liquid of density rho in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is.

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Answer:

The whole force of water will act at the centroid of the triangle. This point is at distance of (1/3)h from the top surface of water.

Hence pressure = (1/3) ρgh

∴ Trust acting on lamina = pressure × area

= [{ρgh} / 3] × A

= (1/3) Aρgh


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