A 1.2 m x 1.2 m square gate located in the vertical side of an open tank is pivoted about the frictionless hinge as shown in Figure Q1 where h is depth in meter. A horizontal force P, is required to keep the gate from rotating. (a) Determine the magnitude of the hydrostatic force acting on the square gate in terms of h. (b) Determine the location of the hydrostatic force acting on the square gate in terms of h. (c) Determine the moment of the hydrostatic force acting on the square gate in terms of h with respect to an axis which coincides with the hinge.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.141RP: The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P...
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A 1.2 m x 1.2 m square gate located in the vertical side of an open tank is pivoted about
the frictionless hinge as shown in Figure Q1 where h is depth in meter. A horizontal
force P, is required to keep the gate from rotating.
(a) Determine the magnitude of the hydrostatic force acting on the square gate in terms
of h.
(b) Determine the location of the hydrostatic force acting on the square gate in terms of
h.
(c) Determine the moment of the hydrostatic force acting on the square gate in terms of
h with respect to an axis which coincides with the hinge.
(d) Determine the depth h for the situation when P=0.
(e) If the water in the open tank is replaced by oil, would the depth h increase, decrease
or remain unchanged for the situation when P=0 ? State the reason. Given that the
specific weight of oil is 8.95 kN/m².
Note: Force P is not needed to solved part (a), (b) and (c).
7
water
T
0.7 m
hinge
1.2 m
gate
Transcribed Image Text:A 1.2 m x 1.2 m square gate located in the vertical side of an open tank is pivoted about the frictionless hinge as shown in Figure Q1 where h is depth in meter. A horizontal force P, is required to keep the gate from rotating. (a) Determine the magnitude of the hydrostatic force acting on the square gate in terms of h. (b) Determine the location of the hydrostatic force acting on the square gate in terms of h. (c) Determine the moment of the hydrostatic force acting on the square gate in terms of h with respect to an axis which coincides with the hinge. (d) Determine the depth h for the situation when P=0. (e) If the water in the open tank is replaced by oil, would the depth h increase, decrease or remain unchanged for the situation when P=0 ? State the reason. Given that the specific weight of oil is 8.95 kN/m². Note: Force P is not needed to solved part (a), (b) and (c). 7 water T 0.7 m hinge 1.2 m gate
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