As shown in Figure 2.1, liquid of density pis trapped by a gate ABC of unit width into the plane of the page. The gate is hinged at C, and consists of a vertical section AB of length H and an inclined section BC also of length H inclined at an angle with respect to the horizontal. Obtain an expression for the force P required to hold the gate in position. Neglect the weight of the gate and friction in the hinge. Some geometric properties of a rectangle are provided in Figure 2.2, where the symbols have their usual meanings. 1⁹ с Figure 2.1 H A B H

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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As shown in Figure 2.1, liquid of density pis trapped by a gate ABC of unit
width into the plane of the page. The gate is hinged at C, and consists of a
vertical section AB of length H and an inclined section BC also of length H
inclined at an angle with respect to the horizontal. Obtain an expression
for the force P required to hold the gate in position. Neglect the weight of
the gate and friction in the hinge. Some geometric properties of a rectangle
are provided in Figure 2.2, where the symbols have their usual meanings.
|6|2
b
y
+
X
C
Figure 2.1
b
N|O
2
Rectangle
H
H
P
a
Area A = ba
2 C: Centroid
a
1xx,c=
|yy,c=
1
12
1
12
·ba³
ab³
Transcribed Image Text:As shown in Figure 2.1, liquid of density pis trapped by a gate ABC of unit width into the plane of the page. The gate is hinged at C, and consists of a vertical section AB of length H and an inclined section BC also of length H inclined at an angle with respect to the horizontal. Obtain an expression for the force P required to hold the gate in position. Neglect the weight of the gate and friction in the hinge. Some geometric properties of a rectangle are provided in Figure 2.2, where the symbols have their usual meanings. |6|2 b y + X C Figure 2.1 b N|O 2 Rectangle H H P a Area A = ba 2 C: Centroid a 1xx,c= |yy,c= 1 12 1 12 ·ba³ ab³
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