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ESE 90 DAYS PLAN_Hydrostatic Forces on Surface

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Question 1

A rectangular opening in a vertical side of tank has been provided opening is completely covered by plane plate hinged along horizontal centre line of the opening plate is kept in equilibrium in vertical position by a weight W as shown in figure. Value of W (in kN) would be (Neglect friction at hinge and pulley)

Question 2

What will be the depth of center of pressure (in cm) from top of water level for a vertically submerged circular plate of diameter 12 cm such that the topmost point is just at the water surface?

Question 3

A rectangular plate 2m wide is submerged in water vertically such that its top & bottom surface are 2m & 5m respectively below the free surface. The total force on the plate is

Question 4

A vertical isosceles triangular gate with its vertex upwards has a base width of 2m and a height of 1.5m.If the vertex of the gate is 1m below the free water surface, then what will be the total pressure force and the position of centre of pressure respectively on one side of the plate?

Question 5

The centre of pressure on an isosceles triangular plate of base  3m and height 3m immersed in oil such that base of plate coincide with free surface of oil is
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Apr 24ESE & GATE CE