The quarter cylindrical gate AB has a radius of 1.5 m and length 3 m perpendicular to the paper. It is hinge at A. Determine the horizontal force P in KN applied at B just to close the gate. Use unit weight of water 9.80 kN/m^3. Weight of the gate is negligible.

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 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...
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Answer the following questions completely. Minimize rounding of rounding of numbers to obtain a more precise answer

3
The quarter cylindrical gate AB has a radius of 1.5
m and length 3 m perpendicular to the paper. It is
hinge at A. Determine the horizontal force P in kN
applied at B just to close the gate. Use unit weight
of water 9.80 kN/m^3. Weight of the gate is
negligible.
142.695
143.295
143.325
144.245
144.354
Water surface,
2.5 m
1.5 m
P
Transcribed Image Text:3 The quarter cylindrical gate AB has a radius of 1.5 m and length 3 m perpendicular to the paper. It is hinge at A. Determine the horizontal force P in kN applied at B just to close the gate. Use unit weight of water 9.80 kN/m^3. Weight of the gate is negligible. 142.695 143.295 143.325 144.245 144.354 Water surface, 2.5 m 1.5 m P
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