In the figure below, the level of the water in the reservoir is controlled with a weightless gate, which has a quarter of circle cross section, radius 0.5 m, and is hinged at point A. The hinge is assumed frictionless. The length of the gate is 1.0 m. The density of the water is 1000 kg/ m2. Determine the minimum force in kN required to be applied in the radial direction at point B to 1-Find the line of action of the hydrostatic force on the gate 2- Use a moment balance around the hinge A to find the magnitude of the applied force, FB PO 1 atm S Water 2.5 m Fy radius 0.5 m Ouate cir 3.0 m _FB BN

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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In the figure below, the level of the water in the reservoir is controlled with a weightless gate,
which has a quarter of circle cross section, radius 0.5 m, and is hinged at point A. The hinge is
assumed frictionless. The length of the gate is 1.0 m. The density of the water is 1000 kg/ m2.
Determine the minimum force in kN required to be applied in the radial direction at point B to
1-Find the line of action of the hydrostatic force on the gate
2- Use a moment balance around the hinge A to find the magnitude of the applied force, FB
PO 1 atm
S
Water
2.5 m
Fy
radius 0.5 m
Ouate cir
3.0 m
_FB
BN
Transcribed Image Text:In the figure below, the level of the water in the reservoir is controlled with a weightless gate, which has a quarter of circle cross section, radius 0.5 m, and is hinged at point A. The hinge is assumed frictionless. The length of the gate is 1.0 m. The density of the water is 1000 kg/ m2. Determine the minimum force in kN required to be applied in the radial direction at point B to 1-Find the line of action of the hydrostatic force on the gate 2- Use a moment balance around the hinge A to find the magnitude of the applied force, FB PO 1 atm S Water 2.5 m Fy radius 0.5 m Ouate cir 3.0 m _FB BN
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