2. A triangular gate having a horizontal base 4 ft. long and an altitude of 6ft is inclined 45° from the horizontal with vertex pointing upward. The base of the gate is 8 ft below the surface of the liquid, which has a specific gravity of 0.82. What normal force, P must be applied at the vertex of the gate to open it, neglecting the weight of the gate. gate 45° -hinged

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 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...
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HYDROSTATIC FORCE ON PLANE SURFACE

Please show substitution and please make it easy to understand if handwritten.  Also the final answer should be in KN. THANKYOU!!!

And how is inertia given by I = bd^3/36. Isn't it I = bd^3/12? THANKS!

2.
A triangular gate having a horizontal base 4 ft. long and an altitude of 6ft is inclined
45° from the horizontal with vertex pointing upward. The base of the gate is 8 ft below the
surface of the liquid, which has a specific gravity of 0.82. What normal force, P must be
applied at the vertex of the gate to open it, neglecting the weight of the gate.
gate
45°
hinged
Transcribed Image Text:2. A triangular gate having a horizontal base 4 ft. long and an altitude of 6ft is inclined 45° from the horizontal with vertex pointing upward. The base of the gate is 8 ft below the surface of the liquid, which has a specific gravity of 0.82. What normal force, P must be applied at the vertex of the gate to open it, neglecting the weight of the gate. gate 45° hinged
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