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Unformatted text preview: Problem 5: A rectangular barge floats in water, w . When it is empty it is immersed at depth D below the surface. Oil with density, o , is poured into the barge until it is about to sink. Find a relationship for the depth of the oil at this point in terms of the initial depth, D, the total height of the barge H and the barge width W. Problem 6: You are asked to design an underwater laboratory at the bottom of the Gulf of Mexico, in order to study the habits of Migrating Whale Sharks. After attending a lecture given by Samuel Raymond, founder of Benthos, you realize that a spherical structure would be ideal for this project. So you have decided that the laboratory will be built as a hemi-sphere off the sea floor and sketch the following concept design: g H D/2 a) What is the distribution of pressure over the wetted surface of the laboratory? b) What are the total fluid force and moment vectors exerted on the laboratory by the surrounding fluid?...
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