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3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water %3D (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ?

3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water %3D (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Can you answer this in complete solution please im a slow learner i need every detail to understand the problem? thank you in advance

3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ? 4. A solid block, of specific gravity 0.9, floats such that 75% of its volume is in water and 25% of its volume is in fluid X, which is layered above the water. What is the specific gravity of fluid X? 5. A piece of yellow pine wood (SG = 0.65) is 5 cm square and 2.2 m long. How many newtons of lead (SG = 11.4) %3D should be attached to one end of the wood so that it will float vertically with 30 cm out of the water?
Transcribed Image Text:3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ? 4. A solid block, of specific gravity 0.9, floats such that 75% of its volume is in water and 25% of its volume is in fluid X, which is layered above the water. What is the specific gravity of fluid X? 5. A piece of yellow pine wood (SG = 0.65) is 5 cm square and 2.2 m long. How many newtons of lead (SG = 11.4) %3D should be attached to one end of the wood so that it will float vertically with 30 cm out of the water?
1. A spar buoy is a buoyant rod weighted to float and protrude vertically, as in shown in the figure. It can be used for measurements or markers. Suppose that the buoy is maple wood (SG = 0.6), 2 in. by 2. in by 12 ft, floating in seawater (SG : 1.025). How many pounds of steel (SG = 7.85) should be added to the bottom end so %3D %3D %3D that h = 18 in.? 2. It is said that Archimedes discovered the buoyancy laws when asked by King Hiero of Syracuse to determine whether his new crown was pure gold (SG = 19.3). Archimedes measured the weight of the crown in air to be 11.8 N and its weight in water to be 10.9 N. Was it a pure gold?
Transcribed Image Text:1. A spar buoy is a buoyant rod weighted to float and protrude vertically, as in shown in the figure. It can be used for measurements or markers. Suppose that the buoy is maple wood (SG = 0.6), 2 in. by 2. in by 12 ft, floating in seawater (SG : 1.025). How many pounds of steel (SG = 7.85) should be added to the bottom end so %3D %3D %3D that h = 18 in.? 2. It is said that Archimedes discovered the buoyancy laws when asked by King Hiero of Syracuse to determine whether his new crown was pure gold (SG = 19.3). Archimedes measured the weight of the crown in air to be 11.8 N and its weight in water to be 10.9 N. Was it a pure gold?
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