3. The tank shown has a parabolic curve gate at the bottom right side of length h perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting the weight of the gate and the vertical reaction at the bottom end B of the gate, show the following if the unit weight of the liquid is y. Liquid surface 27 (a) The location of the vertical component is 26 124 3 hinge Р h from the y axis is (b) The magnitude of the horizontal force P just to prevent the opening is yh³. 27 -h. 26

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter10: Force And Force-related Variables In Engineering
Section: Chapter Questions
Problem 24P
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3. The tank shown has a parabolic curve gate at the bottom right side of length h
perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The
parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting
the weight of the gate and the vertical reaction at the bottom end B of the gate, show
the following if the unit weight of the liquid is y.
Liquid surfac
ILL
hinge
2h
27
27
(a) The location of the vertical component ish from the y axis is
26
26
124
3
(b) The magnitude of the horizontal force P just to prevent the
opening is
yh³.
h.
Transcribed Image Text:3. The tank shown has a parabolic curve gate at the bottom right side of length h perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting the weight of the gate and the vertical reaction at the bottom end B of the gate, show the following if the unit weight of the liquid is y. Liquid surfac ILL hinge 2h 27 27 (a) The location of the vertical component ish from the y axis is 26 26 124 3 (b) The magnitude of the horizontal force P just to prevent the opening is yh³. h.
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