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This Concept Map, created with IHMC CmapTools, has information related to: Stability in Boyancy, Buoyant Force affected by Volume of object submerged beneth fluid surface, Center of Gravity are affected by Fluid Density, Buoyant Force affected by Fluid Density, Center of Gravity are affected by <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Center of Buoyancy </mtext> <mmultiscripts> <mtext> (y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> ) </mtext> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Center of Buoyancy </mtext> <mmultiscripts> <mtext> (y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> ) </mtext> </mrow> </math> in relation to Metacentric Height, Stability and Bouyancy are affected by <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Center of Buoyancy </mtext> <mmultiscripts> <mtext> (y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> ) </mtext> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mmultiscripts> <mtext> y </mtext> <mtext> mc </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> +MB </mtext> </math> Where MB is Determined by <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> MB=I/ </mtext> <mmultiscripts> <mtext> V </mtext> <mtext> D </mtext> <none/> </mmultiscripts> </mrow> </math>, Buoyant Force represented by the equation <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> F </mtext> <mtext> B </mtext> <none/> </mmultiscripts> <mtext> = γ </mtext> <mmultiscripts> <mtext> V </mtext> <mtext> D </mtext> <none/> </mmultiscripts> </mrow> </math>, Weight of object opposing Buoyant Force expressed by <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> V </mtext> <mmultiscripts> <mtext> γ </mtext> <mtext> object </mtext> <none/> </mmultiscripts> </mrow> </math>, Center of Gravity when center of gravity is below the center of buoyancy Completely submerged bodies are stable, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> V </mtext> <mmultiscripts> <mtext> γ </mtext> <mtext> object </mtext> <none/> </mmultiscripts> </mrow> </math> which when an object is floating <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> V </mtext> <mmultiscripts> <mtext> γ </mtext> <mtext> object </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mrow> <mtext> γ </mtext> <mmultiscripts> <mtext> V </mtext> <mtext> D </mtext> <none/> </mmultiscripts> </mrow> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Center of Buoyancy </mtext> <mmultiscripts> <mtext> (y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> ) </mtext> </mrow> </math> when center of gravity is below the center of buoyancy Completely submerged bodies are stable, Center of Gravity <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> when center of gravity
is below the metacenter </mtext> </mrow> </math> Floating bodies are stable, Stability and Bouyancy are affected by Metacentric Height, Center of Gravity are affected by Buoyant Force, Metacentric Height represented by the equation <math xmlns="http://www.w3.org/1998/Math/MathML"> <mmultiscripts> <mtext> y </mtext> <mtext> mc </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> cb </mtext> <none/> </mmultiscripts> <mtext> +MB </mtext> </math>, Stability and Bouyancy are affected by Buoyant Force, Buoyant Force affected by Weight of object opposing Buoyant Force, Center of Gravity in relation to Metacentric Height, Volume of object submerged beneth fluid surface expressed by <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> V </mtext> <mtext> D </mtext> <none/> </mmultiscripts> </mrow> </math>