hw3F10 - curve is equal to the force Fy divided by the...

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AAE333 Fall 2010 Homework 3 Due: Monday Sept 13 10% bonus if turned in on Friday 9/10/10 1. Consider a prism with an equilateral triangle cross-section, 10 cm on a side. The prism is 50 cm long. The prism is immersed in water with one vertex pointed straight down and the opposite side parallel to the surface of the water. Use an x,y coordinate system centered on the lowest vertex with y increasing upward and x parallel to the water surface. a) Calculate the buoyant forces, Fx, and Fy, exerted on the submerged prism using Archemedes Principle b) How does the resultant force depend on depth below the water surface? c) Plot the pressure (measured from the lowest vertex) as a function of x, around the perimeter of the prism. Show that the area enclosed by the
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Unformatted text preview: curve is equal to the force Fy divided by the length of the prism d) Plot the pressure (measured from the lowest vertex) as a function of y around the perimeter of the prism. Show that the area enclosed by the curve is equal to the force -Fx divided by the length of the prism 2. Consider the same prism as in 1 with the same point down orientation. But now the prism is only partially submerged. Suppose the weight of the prism is 10 N. Taking g as 10 m/s^2 and the density of water as 1gm/cc, calculate how low in the water the prism will sit ie the distance between the water surface and the lowest vertex....
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