Buoyancy force on the partially submerged object

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SUMMARY

The discussion centers on calculating the buoyancy force on partially submerged objects, referencing Archimedes's principle, which states that the buoyant force equals the weight of the fluid displaced. For completely submerged objects, the volume of the object directly correlates with the volume of displaced fluid. However, for partially submerged objects, the buoyant force must be calculated based on the specific volume of fluid displaced, which is less than the total volume of the object. Understanding whether the object is floating provides additional insights into the buoyant force acting on it.

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Archimedes's principle says that the buoyancy force would be equal to the weight of the fluid displaced by the body. It's easy to work with the completely submerged object since I just need the whole volume of the object to as it is equal to the volume of displaced fluid. However, if an object is partially submerged, it would displace a lesser amount of liquid, and that amount is not equal to the entire volume of the object. So how can I calculate the buoyancy force under that circumstance? Thanks :)
 
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To calculate the buoyant force directly, you'll need the volume displaced. But there are other principles that can apply. For example, is the object floating? What does that tell you about the buoyant force?
 

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