A homogeneous, 4-ft-wide, 5.6-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 L₁-5.6 ft. L₂=4.9 ft, and 0 = 39% Water 4 Cable Gate Hinge.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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 homogeneous, 4-ft-wide, 5.6-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 L₁-5.6 ft, L₂=4.9 ft, and 0= 39⁰
Water
Cable
Gate
Hinge
Transcribed Image Text:A homogeneous, 4-ft-wide, 5.6-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 L₁-5.6 ft, L₂=4.9 ft, and 0= 39⁰ Water Cable Gate Hinge
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