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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.35P: The weight of the cylindrical tank is negligible in comparison to the weight of water it contains...
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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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