An equilateral triangular gate of height h is subjected to a fluid of specific weight y on both sides, as shown below. The fluid layers on either side of the gate are subjected to atmospheric pressure and differ in depth by a distance d.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An equilateral triangular gate of height h is subjected to a fluid of specific weight y on
both sides, as shown below. The fluid layers on either side of the gate are subjected
to atmospheric pressure and differ in depth by a distance d.
h
Questions:
2h/√√3
2h/√3
2h/√√3
(a) Sketch a free-body diagram of the gate labeling all critical dimensions, hydro-
static forces, and reactions acting on the gate.
(b) Compute the resultant pressure force acting on the gate expressed in terms of
the given variables.
(c) Determine the precise location where the resultant pressure force acts on the
gate measured relative to the gate's center of gravity.
Transcribed Image Text:An equilateral triangular gate of height h is subjected to a fluid of specific weight y on both sides, as shown below. The fluid layers on either side of the gate are subjected to atmospheric pressure and differ in depth by a distance d. h Questions: 2h/√√3 2h/√3 2h/√√3 (a) Sketch a free-body diagram of the gate labeling all critical dimensions, hydro- static forces, and reactions acting on the gate. (b) Compute the resultant pressure force acting on the gate expressed in terms of the given variables. (c) Determine the precise location where the resultant pressure force acts on the gate measured relative to the gate's center of gravity.
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