Answered: The hydrostatic force on the gate and…

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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a. The hydrostatic force on the gate and its position as function of h and show its direction on the figure.

b. The tension in the wire rope as function of h.

c. The required value for M.

d. The hydrostatic force on the vertical surface of the cylinder where the submerged area is equal to 2.8 m2
e. The hydrostatic force on the horizontal surface of the cylinder. Interpret you result.

f. For the same submerged volume, does the required value for M change if the cylindrical mass is replaced by a cubic mass? Explain.

Alm diameter cylindrical mass, M, is connected to a 2.2 m wide rectangular gate as shown in
in the figure below. The gate is to open when the water level, h, drops below 2.5 m. Neglect
friction at the gate hinge and the pulley.
Pwater= 1000 kg/m³
g = 9.81 m/s?
4 m
Water
-1-m-
diameter
h
1 m

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