A homogeneous, 4-ft-wide, 11-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. Assume L₁ = 11 ft, L₂ = 7.6 ft, and 0 = 31° T = i lb + Water Cable Gate Hinge L₂
A homogeneous, 4-ft-wide, 11-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. Assume L₁ = 11 ft, L₂ = 7.6 ft, and 0 = 31° T = i lb + Water Cable Gate Hinge L₂
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A homogeneous, 4-ft-wide, 11-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the
figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the
cable.
Assume L₁ = 11 ft, L₂ = 7.6 ft, and 0 = 31°
T = i
lb
←
Water
Cable
Gate
Hinge
L₂
L₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feadb3c7d-1841-4f65-bab3-e2e042b5e7a0%2Fb815c957-2baa-4138-8ff2-35f0cfb0e33a%2Fyc3jgs_processed.png&w=3840&q=75)
Transcribed Image Text:A homogeneous, 4-ft-wide, 11-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the
figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the
cable.
Assume L₁ = 11 ft, L₂ = 7.6 ft, and 0 = 31°
T = i
lb
←
Water
Cable
Gate
Hinge
L₂
L₁
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