A 4-ft by 3-ft massless rectangular gate is used to close the end of the water tank shown in the figure below. A 200-lb weight attached to the arm of the gate at a distance from the frictionless hinge is just sufficient to keep the gate closed when the water depth is 2 ft, that is, when the water fills the semicircular lower portion of the tank. If the water were deeper, the gate would open. Determine the distance & in feet. Hinge Hinge

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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A 4-ft by 3-ft massless rectangular gate is used to close the end of the water tank shown in the
figure below. A 200-lb weight attached to the arm of the gate at a distance from the frictionless
hinge is just sufficient to keep the gate closed when the water depth is 2 ft, that is, when the
water fills the semicircular lower portion of the tank. If the water were deeper, the gate would
open. Determine the distance e in feet.
200 lb
Gate
-Hinge
1 ft
Water
Hinge
2 ft
radius
4 ft
3 ft
Transcribed Image Text:A 4-ft by 3-ft massless rectangular gate is used to close the end of the water tank shown in the figure below. A 200-lb weight attached to the arm of the gate at a distance from the frictionless hinge is just sufficient to keep the gate closed when the water depth is 2 ft, that is, when the water fills the semicircular lower portion of the tank. If the water were deeper, the gate would open. Determine the distance e in feet. 200 lb Gate -Hinge 1 ft Water Hinge 2 ft radius 4 ft 3 ft
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