Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 17 Feb 2018 My Price 7.00

buoy motion

Figure P4.20 illustrates a cylindrical buoy floating in water with a mass density ρ. Assume that the center of mass of the buoy is deep enough so that the buoy motion is primarily vertical. The buoy mass is m and the diameter is D. Archimedes’ principle states that the buoyancy force acting on a floating object equals the weight of the liquid displaced by the object.

 

(a) Derive the equation of motion in terms of the variable x, which is the displacement from the equilibrium position.

(b) Obtain the expression for the buoy’s natural frequency.

(c) Compute the period of oscillation if the buoy diameter is 2ft and the buoy weighs 1000 lb. Take the mass density of fresh water to be ρ = 1.94 slug/ft3.

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Feb 2018 08:02 PM My Price 7.00

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