Problem 3.107

# Problem 3.107 - Problem*3.107[Difficulty 4 Given...

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Problem *3.107 [Difficulty: 4] Given: Cylindrical timber, D = 1 ft and L = 15 ft, is weighted on the lower end so that is floats vertically with 10 ft submerged in sea water. When displaced vertically from equilibrium, the timber oscillates in a vertical direction upon release. Find: Estimate the frequency of the oscillation. Neglect viscous forces or water motion. Solution: We will apply the hydrostatics equations to this system. Governing Equations: F buoy ρ g V d = (Buoyant force is equal to weight of displaced fluid) d = 10 ft (Equilibrium Depth) D = 1 ft L Assumptions: (1) Static fluid (2) Incompressible fluid (3) Atmospheric pressure acts everywhere (4) Viscous effects and water motion are negligible. At equilibrium: Σ F y F buoy Mg =
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## This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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