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 ftsubmerged in sea water. When displaced vertically from equilibrium, the timber oscillates in a vertical directionupon 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:Fbuoyρg⋅Vd⋅=(Buoyant force is equal to weight of displaced fluid)d =10 ft (Equilibrium Depth)D= 1 ftL Assumptions:(1) Static fluid(2) Incompressible fluid(3) Atmospheric pressure acts everywhere(4) Viscous effects and water motion are negligible.At equilibrium:ΣFyFbuoyMg⋅−=
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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.