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Question

Question: A triangular lamina of area A and height h is immersed in a liquid of density \(\rho\) in a vertical...

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

A

12Aρgh\frac { 1 } { 2 } A \rho g h

B

13Aρgh\frac { 1 } { 3 } A \rho g h

C

16Aρgh\frac { 1 } { 6 } A \rho g h

D

23Aρgh\frac { 2 } { 3 } A \rho g h

Answer

13Aρgh\frac { 1 } { 3 } A \rho g h

Explanation

Solution

Thrust on lamina = pressure at centroid × Area

= hρg3×A\frac { h \rho g } { 3 } \times A=