Which of the following situations describes a floating body which is most likely to be unstable?Group of answer choicesThe centre of gravity coincides with the centre of buoyancyThe floating body has a very low massThe floating body has a very large massThe centre of gravity is located above the centre of buoyancy
Question
Which of the following situations describes a floating body which is most likely to be unstable?Group of answer choicesThe centre of gravity coincides with the centre of buoyancyThe floating body has a very low massThe floating body has a very large massThe centre of gravity is located above the centre of buoyancy
Solution
The situation that describes a floating body which is most likely to be unstable is when "The centre of gravity is located above the centre of buoyancy".
Here's why:
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Stability of a floating body is determined by the relative positions of the centre of gravity (where the weight is effectively concentrated) and the centre of buoyancy (where the upward buoyant force is effectively concentrated).
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If the centre of gravity is below the centre of buoyancy, the body will tend to return to its equilibrium position if disturbed - this is a stable equilibrium.
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If the centre of gravity is above the centre of buoyancy, any disturbance will tend to move the centre of gravity further from the centre of buoyancy, causing the body to overturn - this is an unstable equilibrium.
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The mass of the body does not directly affect its stability. Whether a body is stable or not depends on the position of the centre of gravity relative to the centre of buoyancy, not on how much mass there is.
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If the centre of gravity coincides with the centre of buoyancy, the body will be neutrally stable. It will not tend to return to its original position if disturbed, but nor will it tend to overturn.
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