# 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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38 views help_outlineImage TranscriptioncloseIn 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 fullscreen
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Step 1

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

Step 2 help_outlineImage Transcriptionclosefind 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 fullscreen
Step 3

We can find the total pressure for... help_outlineImage TranscriptioncloseToal 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 fullscreen

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### Fluid Mechanics 