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Question 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.

Question 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.

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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Question 1 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/m³. Note: Force P is not needed to solved part (a), (b) and (c). water h 0.7 m hinge —— Figure Q1 1.2 m gate Continued...
Transcribed Image Text:Question 1 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/m³. Note: Force P is not needed to solved part (a), (b) and (c). water h 0.7 m hinge —— Figure Q1 1.2 m gate Continued...
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