5. A circular gate 2 m in diameter has water on one side and is inclined 45 degrees with the horizontal. Water is 1.50 m above the top of the gate. (a) Draw the free-body diagram of the gate. (b) Compute the force acting on the gate in kN and its location (i.e. from the center of gravity to the center of pressure) in meters. (c) Also, if the top of the gate is a hinge, what force in kN perpendicular to the gate is needed to open the gate at the bottom (i.e. intersection of the gate and river bed)?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.100P: The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness...
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5. A circular gate 2 m in diameter has water on one side and is inclined
45 degrees with the horizontal. Water is 1.50 m above the top of the
gate. (a) Draw the free-body diagram of the gate. (b) Compute the force acting on the
gate in kN and its location (i.e. from the center of gravity to the center of pressure) in
meters. (c) Also, if the top of the gate is a hinge, what force in kN perpendicular to the
gate is needed to open the gate at the bottom (i.e. intersection of the gate and river bed)?
Transcribed Image Text:5. A circular gate 2 m in diameter has water on one side and is inclined 45 degrees with the horizontal. Water is 1.50 m above the top of the gate. (a) Draw the free-body diagram of the gate. (b) Compute the force acting on the gate in kN and its location (i.e. from the center of gravity to the center of pressure) in meters. (c) Also, if the top of the gate is a hinge, what force in kN perpendicular to the gate is needed to open the gate at the bottom (i.e. intersection of the gate and river bed)?
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