B=(pb-pt)a
You can change your center of buoyancy by adding weights to a different area.
The relationship between the center of buoyancy and the center of gravity in an object's stability in water is that for an object to be stable, the center of gravity must be located below the center of buoyancy. This ensures that the object will remain upright and not tip over in the water.
Mass of dock. Initial buoyancy. Buoyancy of additional foam.
The stability of a ship is calculated by assessing its center of gravity (CG) and center of buoyancy (CB) along with the metacentric height (GM). The metacentric height is determined by measuring the distance between the center of buoyancy and the metacenter, where the vertical line through the center of buoyancy intersects the centerline of the ship when tilted. A higher GM indicates better stability, as it means the ship will return to an upright position more effectively after being tilted. Additionally, the stability curve can be analyzed to evaluate how the ship responds to different angles of heel.
Center of gravity is supposed to act at the centroid of the body. while center of buoyancy is the center of gravity of fluid displaced . so they cant be at single point. if the body is completely submerged and homogenous then both cg and cb will coincide
centre of buoyancy = 1/2 (y) centre of gravity = 1/2 (H)
Centre of mass is a convinient point where whole mass of the body is supposed to be acting and for bodies of small shape it concides with the geometrical centre. Centre of bouancy is the centre of the immersed portion of the body inside the liquid.
When the center of buoyancy is directly above the center of gravity a floating object is stable.
The centre of buoyancy (COB) of an object is the centre of gravity (COG) of the water that is displaced when the object is submerged. So to calculate the COB of an object you first need to calculate the COG of the object and the mass of the object in order to find out how the object will sit in the water and the shape of the water it displaces. Once the shape of the displced water is known, then the COG of the displaced water is then the COB of the object. Easy no? The centre of buoyancy (COB) of an object is the centre of gravity (COG) of the water that is displaced when the object is submerged. So to calculate the COB of an object you first need to calculate the COG of the object and the mass of the object in order to find out how the object will sit in the water and the shape of the water it displaces. Once the shape of the displaced water is known, then the COG of the displaced water is then the COB of the object. Easy no?
A metacentric diagram is a vessel (ship) stability diagram that shows the relative positions above and below the metacenter of the center of buoyancy and the center of gravity, respectively. Use the link to the Wikipedia article to view one and see how it looks. Follow along and see how it works. When a vessel floats in water, its center of gravity is below its center of buoyancy. That allows gravity to pull down on buoyancy from below the bouyancy to pull up on gravity from above (if it is permitted to say it that way). If the center of buoyancy slips below the center of gravity, the vessel will roll over. Visualize that. And the closer the two centers are, the less stable the vessel. That is, the more prone to rollover it is. The "sweet spot" between the centers of buoyancy and gravity is the metacenter. It's important in evaluating a ship's stability.
To calculate the buoyancy of a cardboard boat, you need to determine the weight of the water displaced by the boat. This can be calculated by multiplying the volume of the submerged part of the boat by the density of water. The buoyant force acting on the boat is equal to the weight of the water displaced.
The two main types of buoyancy are positive buoyancy, which causes an object to float, and negative buoyancy, which causes an object to sink. Another type, neutral buoyancy, occurs when an object neither sinks nor floats but remains suspended in water at a specific depth.