A tank of water has a trap door inclined at an angle 0 to the horizontal, as shown in Figure Q4. The door is square, with a length and width of L, and the hinge of the door is a depth ho below the surface. The water is stationary and has a density, p. a) Find the horiztonal force on the door due to static pressure b) Find the vertical force on the door due to static pressure c) Find the moment on the door hinge due to static pressure d) The weight of the door induces a anti-clockwise moment, Mw, which acts to stop the door from opening. Find the ho such that the static pressure is large enough to open the door

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 4
A tank of water has a trap door inclined at an angle 0 to the horizontal, as shown in Figure
Q4. The door is square, with a length and width of L, and the hinge of the door is a depth
ho below the surface. The water is stationary and has a density, p.
a) Find the horiztonal force on the door due to static pressure
b) Find the vertical force on the door due to static pressure
c) Find the moment on the door hinge due to static pressure
d) The weight of the door induces a anti-clockwise moment, Mw, which acts to stop
the door from opening. Find the ho such that the static pressure is large enough to open
the door
M
JO
L
ho
Figure Q4: Tank of water, with a hinged door.
Transcribed Image Text:Question 4 A tank of water has a trap door inclined at an angle 0 to the horizontal, as shown in Figure Q4. The door is square, with a length and width of L, and the hinge of the door is a depth ho below the surface. The water is stationary and has a density, p. a) Find the horiztonal force on the door due to static pressure b) Find the vertical force on the door due to static pressure c) Find the moment on the door hinge due to static pressure d) The weight of the door induces a anti-clockwise moment, Mw, which acts to stop the door from opening. Find the ho such that the static pressure is large enough to open the door M JO L ho Figure Q4: Tank of water, with a hinged door.
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