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; ◆
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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a42e238-4116-4e80-81a7-f4d567b4bd0e%2F5413a62c-0037-41dc-86e7-3d359992da8b%2Ftufop79_processed.jpeg&w=3840&q=75)
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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