In figure below, the force F is applied normal to the gate at point B to keep it closed. The gatehinged at point A, is making a 60-degree angle with the horizon. The length AB of therectangular gate is 2m and the width of the gate normal to the plane of paper is 5 m. Moreinformation is provided on the figure.Determine1- Magnitude and point of action of the resulting hydrostatic force. Determine distance ofthe center of pressure, P, from point B2- Minimum value of the force F to just keep the gate closedAssume no friction in the hinge. Acceleration of gravity is 9.81 m /s^2.Waterdensity 1000 kg/m3BASide View of the GateFA

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Asked Jun 22, 2019
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In figure below, the force F is applied normal to the gate at point B to keep it closed. The gate
hinged at point A, is making a 60-degree angle with the horizon. The length AB of the
rectangular gate is 2m and the width of the gate normal to the plane of paper is 5 m. More
information is provided on the figure.
Determine
1- Magnitude and point of action of the resulting hydrostatic force. Determine distance of
the center of pressure, P, from point B
2- Minimum value of the force F to just keep the gate closed
Assume no friction in the hinge. Acceleration of gravity is 9.81 m /s^2.
Water
density 1000 kg/m3
B
A
Side View of the Gate
F
A
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In figure below, the force F is applied normal to the gate at point B to keep it closed. The gate hinged at point A, is making a 60-degree angle with the horizon. The length AB of the rectangular gate is 2m and the width of the gate normal to the plane of paper is 5 m. More information is provided on the figure. Determine 1- Magnitude and point of action of the resulting hydrostatic force. Determine distance of the center of pressure, P, from point B 2- Minimum value of the force F to just keep the gate closed Assume no friction in the hinge. Acceleration of gravity is 9.81 m /s^2. Water density 1000 kg/m3 B A Side View of the Gate F A

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Step 1

Refer to the figure given below to understand the steps following step1:

P
2m
A
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P 2m A

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Step 2
find ere the total pressure fovce
on the inclinel phte
We
an
folloos
as
Whore floookgIn(given)
99.81 mls (giwen in the question)
5210m2
A- Area of the phte
hdistance centroidfrom the free surface of
Loaten
Yom ABPG, Sin 60 x-sin 60-
m
(2+ 2286 metos
Distance of centvoid ot the plate A) from free surace
of uoten ha.866 meters
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find ere the total pressure fovce on the inclinel phte We an folloos as Whore floookgIn(given) 99.81 mls (giwen in the question) 5210m2 A- Area of the phte hdistance centroidfrom the free surface of Loaten Yom ABPG, Sin 60 x-sin 60- m (2+ 2286 metos Distance of centvoid ot the plate A) from free surace of uoten ha.866 meters

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Step 3

We can find the total pressure for...

Toal pressae force - Sh
F Cooe) C81 o (2866)
28(54.6 N
This fore () acts porpendula to the Surface
the plate Cre) at centre f pressuve
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Toal pressae force - Sh F Cooe) C81 o (2866) 28(54.6 N This fore () acts porpendula to the Surface the plate Cre) at centre f pressuve

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