Example 3. Find the density of a metallic body which floats at the interface of mercury of specific gravity 13.6 and water such that 35 percent of its volume is submerged in mercury and 65 percent in water www

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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Chapter6: Fundamental Dimensions And Units
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Example 3. Find the density of a metallic body which floats at the interface of mercury of
specific gravity 13.6 and water such that 35 percent of its volume is submerged in mercury and 65
percent in water. Y
ww.
Solution. Let, V= Volume of the body, m'
Then, volume of body submerged in mercury
Metallic body
35
Water
x V= 0.35 V m
100
Volume of body submerged in water
65
x V= 0.65 V m
100
Mercury
The body will be in equilibrium when,
Total buoyant (upward) force = weight of
the body
%3D
Transcribed Image Text:8 we? Example 3. Find the density of a metallic body which floats at the interface of mercury of specific gravity 13.6 and water such that 35 percent of its volume is submerged in mercury and 65 percent in water. Y ww. Solution. Let, V= Volume of the body, m' Then, volume of body submerged in mercury Metallic body 35 Water x V= 0.35 V m 100 Volume of body submerged in water 65 x V= 0.65 V m 100 Mercury The body will be in equilibrium when, Total buoyant (upward) force = weight of the body %3D
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