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

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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