Gate AB in figure shown is a homogeneous mass of 180 kg, 2.10 m wide into the paper, hinged at A, and resting on a smooth bottom at B. The gate is thin, hence buoyancy can be neglected. All fluids are at 20 deg.C. For what water depth h will the force at point B be zero? Use specific weight of 9.79 kN/m³ for water and 12.36 kN/m³ for glycerin. Use g = 9.81 m/s? Hint: Account the weight of gate which is acting on its center of gravity. Do not round-off the values Water Glycerin 2 m 1 m 60° В

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 3

Gate AB in figure shown is a homogeneous mass of 180 kg, 2.10 m wide into the
paper, hinged at A, and resting on a smooth bottom at B. The gate is thin, hence
buoyancy can be neglected. All fluids are at 20 deg.C. For what water depth h
will the force at point B be zero? Use specific weight of 9.79 kN/m³ for water and
12.36 kN/m³ for glycerin. Use g = 9.81 m/s?
Hint: Account the weight of gate
which is acting on its center of
gravity. Do not round-off the values
Water
Glycerin
2 m
A
1 m
60°
B
Transcribed Image Text:Gate AB in figure shown is a homogeneous mass of 180 kg, 2.10 m wide into the paper, hinged at A, and resting on a smooth bottom at B. The gate is thin, hence buoyancy can be neglected. All fluids are at 20 deg.C. For what water depth h will the force at point B be zero? Use specific weight of 9.79 kN/m³ for water and 12.36 kN/m³ for glycerin. Use g = 9.81 m/s? Hint: Account the weight of gate which is acting on its center of gravity. Do not round-off the values Water Glycerin 2 m A 1 m 60° B
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