A homogeneous, 4-ft-wide, 14-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=14 ft, L₂=2.9 ft, and = 32° Water Cable Gate Hinge

A homogeneous, 4-ft-wide, 14-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=14 ft, L₂=2.9 ft, and = 32° Water Cable Gate Hinge

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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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

A homogeneous, 4-ft-wide, 14-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= 14 ft, L₂=2.9 ft, and9= 32°
T= i 488.68
lb
Water
Cable
Gate.
Hinge.

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