Q. Equal volume of two liquids of densities ρ1 and ρ2 are poured into two identical cuboidal beakers. The hydrostatic forces on the respective vertical face of the beakers are F₁ and F₂ respectively. If ρ1 > ρ2, which one will be the correct relation between F₁ and F₂?

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Q. 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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Q. A beaker contains water up to a height of h. What will be the location of the centre of pressure?

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Q. A cubic tank is completely filled with water. What will be the ratio of the hydrostatic force exerted on the base and on any one of the vertical sides?

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Q. A rectangular lamina of width b and depth d is submerged vertically in water, such that the upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centroid (G)?

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Q. A rectangular lamina of width b and depth d is submerged vertically in water, such that the
upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centre of pressure?

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Q. Does total pressure takes into the account force exerted by the fluid when it is in the dynamic motion?

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Q. Can centre of pressure for a vertical plane submerged surface be ever be above centre of Gravity?

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Q. Which principle is used for calculating the centre of pressure?

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Q. In a vertically submerged plane surface, pressure at every point remains same

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Q. The magnitude of total pressure and centre of pressure is independent on the shape of the submerged plane surface.

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Q. What is the variation of total pressure with depth for any submerged surface if we neglect variation in the density?

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Q. A pipe line which is 6 m in diameter contains a gate valve. The pressure at the centre of the pipe is 25 N/cm². If the pipe is filled with specific gravity 0.8, find the force exerted by the oil upon the gate.

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Q. Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.

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Q. A tank contains water upto a height of 0.5 m above the base. An immiscible liquid of specific gravity 0.75 is filled on the top of water upto 1.5 m height. Calculate total pressure on side of the tank.

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Q. A circular opening, 6m diameter, in a vertical side of a tank is closed by a disc of 6m diameter which can rotate about a horizontal diameter. Calculate the force on the disc. The centre of circular opening is at the depth of 5 m.

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Q. Find the total pressure on a rectangular plate of dimensions 2×3 m immersed in a fluid of specific gravity 0.65 at a depth of 6 m from the surface.

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Q. Find the total pressure on a circular plate of diameter 3 m immersed in a fluid of specific gravity 0.75 at a depth of 5 m from the surface on a planet having acceleration dueto gravity 7 m/s².

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Q. A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity 0.9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine the total pressure.

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Q. A rectangular plan surface 5 m wide and 7 m deep lies in water in such a way that its plane makes an angle 60⁰ with the free surface of water. Determine the total pressure force when the upper edge is 3 m below the free surface.

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