SSC JE Mechanical Engineering 2017 Set 5 Paper

Question : 138 of 200

Marks: +1, -0

For a submerged curved surface, the component of force due to static liquid is equal to ______.

Weight of the liquid supported by curved surface
Force on a projection of the curved surface on a vertical plane
Area of curved surface × pressure at the centroid of the submerged area
None of these

Solution:

Hydrostatic Forces: Curved Surfaces
What force F is required to hold the plate steady?
Given surface AB goes 1 m into the paper

Force balance on fluid element ABC
1.

F_v

= force on the fluid element due to the weight of water above CB
2.

F_H

= force on the fluid element due to horizontal hydrostatic forces on AC
3. W = weight of the water in fluid element ABC
4. F = The force to counter all the others listed above
● F has a horizontal component

F_x

.
● F has a vertical component

F_v

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