Please help calculate the metacentric height pontoon

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In summary, the problem involves a flat bottomed pontoon with dimensions of 12m long, 2m wide, and 1m radius at each end. The total displacement with load is 28 tons in sea water with a relative density of 1.025. The metacentric height is being calculated for a mass centre of the load 400mm above the base. Additionally, the expected list caused by moving a 1.2 ton load 500mm to one side of the centre is also being calculated using the equation H=Wx X1/w+Wc tan Teta.
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Homework Statement


The plan view of a flat bottomed pontoon with all its sides vertical 12m long with 1m radius at each end and 2m wide.The
displacement including the load is 28tons. It is used in sea water for which the relative density can
be taken as 1.025.

a)The metacentric height if the mass centre of the load is 400mm above the base.
b)If part of the load having a mass of 1.2tons is to be moved 500mm to one side of centre,
calculate the expected list this would cause.


Homework Equations


H=Wx X1/w+Wc tan Teta


The Attempt at a Solution

 
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Do you know how to calculate the initial metacentric height of the pontoon?
 

1. What is the metacentric height of a pontoon?

The metacentric height of a pontoon is the distance between the center of gravity of the pontoon and the metacenter, which is the point at which the buoyancy force acts when the pontoon is tilted.

2. Why is calculating the metacentric height important?

Calculating the metacentric height is important because it helps determine the stability of a pontoon. A higher metacentric height indicates a more stable pontoon, while a lower metacentric height can make the pontoon more prone to capsizing.

3. What factors affect the metacentric height of a pontoon?

The metacentric height of a pontoon is affected by the shape and size of the pontoon, the distribution of weight on the pontoon, and the density of the water it is floating in.

4. How is the metacentric height of a pontoon calculated?

The metacentric height of a pontoon is calculated by using the formula: GM = I / V, where GM is the metacentric height, I is the moment of inertia of the pontoon, and V is the volume of the pontoon immersed in water.

5. How can the metacentric height of a pontoon be adjusted?

The metacentric height of a pontoon can be adjusted by redistributing weight on the pontoon, changing the shape or size of the pontoon, or changing the density of the water it is floating in.

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