A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical andhorizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain onlythe tension in the rope (T), the angle of the gate (θ), the height of the fluid (hf), the height of the rope (hr),and the specific weight of the fluid (γ). You may assume the gate is effectively massless. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expensions for the vertical andborinottal reacticn forces, per unit depth into the page, at the hinge. Your experssices should contain onlythe tesion in the rope (T), the ange of the gate (), the beight of the fuid (Ay), the beight of the rope (A,)and the specific weight of the fuid (). You may aosume the gate is effecetively maoles.Ropey

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Description: A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the vertical andhorizontal reaction forces, per unit depth into the page, at the hinge. Your expressions should contain onlythe tension in the rope (T), the an

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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 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 (θ), the height of the fluid (hf), the height of the rope (hr),
and the specific weight of the fluid (γ). You may assume the gate is effectively massless.

A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expensions for the vertical and
borinottal reacticn forces, per unit depth into the page, at the hinge. Your experssices should contain only
the tesion in the rope (T), the ange of the gate (), the beight of the fuid (Ay), the beight of the rope (A,)
and the specific weight of the fuid (). You may aosume the gate is effecetively maoles.
Ropey

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