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Question 2 Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h1, and the depth in the second tank is h2 : a) The fluid in vat 1 exerts a horizontal force, F1, on the valve door when it is closed. Express F, in terms of h1. b) The fluid in vat 1 exerts a moment, M1, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M1, in terms of h1. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h1, and h2 when it is closed. d) If the valve can withstand a moment of Mmax before opening, find the maximum possible height difference between the fluid in vats 1 and 2.

Question 2 Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h1, and the depth in the second tank is h2 : a) The fluid in vat 1 exerts a horizontal force, F1, on the valve door when it is closed. Express F, in terms of h1. b) The fluid in vat 1 exerts a moment, M1, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M1, in terms of h1. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h1, and h2 when it is closed. d) If the valve can withstand a moment of Mmax before opening, find the maximum possible height difference between the fluid in vats 1 and 2.

Elements Of Electromagnetics
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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can you help me with part a) please

 

Question 2 Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area Lx L, and the hinge is at the top of the door. The fluid depth in the first tank is h1, and the depth in the second tank is h2 : a) The fluid in vat 1 exerts a horizontal force, F1, on the valve door when it is closed. Express F, in terms of h1. b) The fluid in vat 1 exerts a moment, M1, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M1, in terms of h1. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h1, and h2 when it is closed. d) If the valve can withstand a moment of Mmax before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 L. Figure Q2: Two vats of water connected by a hinged door.
Transcribed Image Text:Question 2 Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area Lx L, and the hinge is at the top of the door. The fluid depth in the first tank is h1, and the depth in the second tank is h2 : a) The fluid in vat 1 exerts a horizontal force, F1, on the valve door when it is closed. Express F, in terms of h1. b) The fluid in vat 1 exerts a moment, M1, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M1, in terms of h1. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h1, and h2 when it is closed. d) If the valve can withstand a moment of Mmax before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 L. Figure Q2: Two vats of water connected by a hinged door.
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