A gate having the shape shown in Fig. is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. (a) When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. (b) For this same fluid depth determine the moment of the force acting on the semicircular portion of the gate with respect to an axis which coincides with the shaft.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A gate having the shape shown in Fig. is located
in the vertical side of an open tank containing water. The gate
is mounted on a horizontal shaft. (a) When the water level is at
the top of the gate, determine the magnitude of the fluid force
on the rectangular portion of the gate above the shaft and the
magnitude of the fluid force on the semicircular portion of the
gate below the shaft. (b) For this same fluid depth determine
the moment of the force acting on the semicircular portion of
the gate with respect to an axis which coincides with the shaft.
Water
6 m
Shaft
13 m
Side view
of gate
Transcribed Image Text:A gate having the shape shown in Fig. is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. (a) When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. (b) For this same fluid depth determine the moment of the force acting on the semicircular portion of the gate with respect to an axis which coincides with the shaft. Water 6 m Shaft 13 m Side view of gate
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