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1. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical and horizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain only the tension in the rope (T), the angle of the gate (0), the height of the fluid (h¢), the height of the rope (h,), and the specific weight of the fluid (7). You may assume the gate is effectively massless. Rope hf h,

1. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical and horizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain only the tension in the rope (T), the angle of the gate (0), the height of the fluid (h¢), the height of the rope (h,), and the specific weight of the fluid (7). You may assume the gate is effectively massless. Rope hf h,

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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1. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical and horizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain only the tension in the rope (T), the angle of the gate (0), the height of the fluid (hf), the height of the rope (h,,), and the specific weight of the fluid (y). You may assume the gate is effectively massless. Rope hf hr
Transcribed Image Text:1. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical and horizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain only the tension in the rope (T), the angle of the gate (0), the height of the fluid (hf), the height of the rope (h,,), and the specific weight of the fluid (y). You may assume the gate is effectively massless. Rope hf hr
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