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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 & in feet. Hinge Hinge

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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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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