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

Question
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

Image Transcription

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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