Q. A large tank is filled with three liquids of densities ρ₁, ρ₂ and ρ₃ up to heights of h₁, h₂ and h₃ respectively. What will be the expression for the instantaneous velocity of discharge through a small opening at the base of the tank? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

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Q. A gate of length 5 m is hinged at A as shown to support a water column of height 2.5 m. What should be the minimum mass per unit width of the gate to keep it closed?

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Q. A container is filled with two liquids of densities ρ and 2ρ up to heights h and eh respectively. What will be the ratio of the depths of the centres of pressure of the upper face BC and the lower face AB?

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Q. A container is filled with two liquids of densities ρ and 2ρ up to heights h and 2h respectively. What will be the ratio of the total pressure on the lower face AB and on the upper face BC?

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Q. A container is filled with two liquids of densities ρ₁ and ρ₂ up to heights h₁ and h₂ respectively. What will be the hydrostatic force (in kN) per unit width of the lower face AB?

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Q. A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the water surface. If the pressure on the surface is 12 bar, what will be the total water pressure (in kN) on the lamina?

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Q. 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?

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Q. 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 water force (in kN) on the lamina?

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Q. The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3m and 1 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?

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Q. The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3 m and 1 m respectively as shown. What will be the total pressure in (kN) on the plate?

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Q. What will be the depth (in m) of the centre of pressure for a vertical square lamina submerged in a tank of oil (S=0.8) as shown in the figure?

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Q. The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be the total pressure (in kN) on the lamina?

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Q. The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be the depth (in m) of the centre of pressure?

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Q. What will be the total pressure (in kN) on a vertical square lamina submerged in a tank of oil (S=0.9) as shown in the figure?

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Q. A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the depth (in m) of the centre of pressure?

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Q. A square lamina (each side equal to 2m) with a central hole of diameter 1m is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the total water pressure (in kN) on the lamina?

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Q. A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the total water pressure (in kN) on the lamina?

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Q. If the tank is moving vertically, which of its component is subjected to maximum total pressure?

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Q. There will be development of shear stress due to the dynamic motion of tank or container.

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Q. The pressure intensity at the bottom remains same, even if the tank moves with constant horizontal acceleration.

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