What is centre of buoyancy .state its position for a floating body with respect to the centre of gravity of the body
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● The centre of buoyancy is the point, where total upthrust, due to the fluid displaced by the immersed part of the body acts. [ANSWER - AN APPROACH TO I.C.S.E. PHYSICS ; CLASS IX ; GOYAL BROTHERS PRAKASHAN]
◆If the weight of the body is equal to the buoyant force then the body will float and the fact is the centre of gravity and centre of buoyancy of body will coincide.
◆ If the weight of the body is less than the upthrust the body will float but the fact is the weight of whole body acting vertically downward through the centre of gravity is equal to the upthrust caused by the weight of water displaced and it acts vertically upward through the centre of buoyancy.
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◆If the weight of the body is equal to the buoyant force then the body will float and the fact is the centre of gravity and centre of buoyancy of body will coincide.
◆ If the weight of the body is less than the upthrust the body will float but the fact is the weight of whole body acting vertically downward through the centre of gravity is equal to the upthrust caused by the weight of water displaced and it acts vertically upward through the centre of buoyancy.
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Stability of Unconstrained Submerged Bodies in Fluid
The equilibrium of a body submerged in a liquid requires that the weight of the body acting through its cetre of gravity should be colinear with an equal hydrostatic lift acting through the centre of buoyancy.In general, if the body is not homogeneous in its distribution of mass over the entire volume, the location of centre of gravity G does not coincide with the centre of volume, i.e., the centre of buoyancy B.Depending upon the relative locations of G and B, a floating or submerged body attains three different states of equilibrium-
Let us suppose that a body is given a small angular displacement and then released. Then it will be said to be in
Stable Equilibrium: If the body returns to its original positionby retaining the originally vertical axis as vertical.Unstable Equilibrium: If the body does not return to its original position but moves further from it.Neutral Equilibrium: If the body neither returns to its original position nor increases its displacement further, it will simply adopt its new position.
Stable Equilibrium
Consider a submerged body in equilibrium whose centre of gravity is located below the centre of buoyancy (Fig. 5.5a). If the body is tilted slightly in any direction, the buoyant force and the weight always produce a restoring couple trying to return the body to its original position
The equilibrium of a body submerged in a liquid requires that the weight of the body acting through its cetre of gravity should be colinear with an equal hydrostatic lift acting through the centre of buoyancy.In general, if the body is not homogeneous in its distribution of mass over the entire volume, the location of centre of gravity G does not coincide with the centre of volume, i.e., the centre of buoyancy B.Depending upon the relative locations of G and B, a floating or submerged body attains three different states of equilibrium-
Let us suppose that a body is given a small angular displacement and then released. Then it will be said to be in
Stable Equilibrium: If the body returns to its original positionby retaining the originally vertical axis as vertical.Unstable Equilibrium: If the body does not return to its original position but moves further from it.Neutral Equilibrium: If the body neither returns to its original position nor increases its displacement further, it will simply adopt its new position.
Stable Equilibrium
Consider a submerged body in equilibrium whose centre of gravity is located below the centre of buoyancy (Fig. 5.5a). If the body is tilted slightly in any direction, the buoyant force and the weight always produce a restoring couple trying to return the body to its original position
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