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

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

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Description: As shown in Figure 2.1, liquid of density pis trapped by a gate ABC of unitwidth into the plane of the page. The gate is hinged at C, and consists of avertical section AB of length H and an inclined section BC also of length Hinclined at an angle wi

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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Topic Video

Question

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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