Determine the force P needed to hold the 11-m-wide gate in the position shown in the figure. Solution: 2m ● • Set the origin O at the location Unit weight of water is Height of the gate is .Area of the gate is • Yc = ● ● Water sina = Hinge m; → ; m; KN. m²; → The magnitute of the resultant force is → ; x is horizontal pointing into the screen and KN; • Moment of inertia of the gate with respect to its own centroid is I = • Location of the single resultant force is y' = • To figure out the force P required, the gate is in equilibrium, take the moment of The force P is m from O; m4; ◆

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Fluid Mechanics Hw #5
Determine the force P needed to hold the 11-m-wide gate in the position shown in the figure.
2 m
Solution:
Water
Set the origin O at the location
• Yc =
• Unit weight of water is
• Height of the gate is
• Area of the gate is
• sina =
Hinge
m;
→
KN.
m;
m²;
;
+
; x is horizontal pointing into the screen and y is
• The magnitute of the resultant force is
. Moment of inertia of the gate with respect to its own centroid is 1 =
• Location of the single resultant force is y' =
• To figure out the force P required, the gate is in equilibrium, take the moment of
The force P is
KN;
m from O;
m4;
◆
T
Transcribed Image Text:Determine the force P needed to hold the 11-m-wide gate in the position shown in the figure. 2 m Solution: Water Set the origin O at the location • Yc = • Unit weight of water is • Height of the gate is • Area of the gate is • sina = Hinge m; → KN. m; m²; ; + ; x is horizontal pointing into the screen and y is • The magnitute of the resultant force is . Moment of inertia of the gate with respect to its own centroid is 1 = • Location of the single resultant force is y' = • To figure out the force P required, the gate is in equilibrium, take the moment of The force P is KN; m from O; m4; ◆ T
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