Fluids Archimedes principle apparent weight question

AI Thread Summary
In the discussion, the buoyant force exerted by water on a solid with a specific gravity of 1 is analyzed in relation to its weight readings on a balance. When the solid is suspended independently, the balance reads the combined weight of the vessel, water, and solid. However, if the solid is tied to the balance arm, the reading reflects only the weight of the vessel and water, as the solid's buoyancy is countered by the tension in the thread. The key distinction lies in how the solid's buoyancy affects the reading based on its attachment method. Understanding these dynamics is crucial for accurately interpreting the balance readings in both scenarios.
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Homework Statement

Vessel contains water.It is placed on the pan of a physical balance.A solid(specific gravity=1) is suspended from an thread(from an independent support),such that it is immersed completely in the water.
What the weight it reads?

If the thread was tied to the arm of the balance,what would the weight have been?

The attempt at a solution
First Part:
Water exerts a buoyant force on the solid.This results in a reaction force (equal and opposite).
Thus the weight read is that of vessel with water+solid.

Correct?
Second Part:
My book says it is equal to the weight of the vessel with water only.How it is so?How is it different from the first case?
 
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Although the answer is correct you shouldn't say the weight on the balance would be the weight of water plus that of the solid. Rather it is better to say that the reading shows the weight of water plus the weight of water that would have been enclosed in the solid had it been made of water. Here the density of solid is equal to that of water (a coincidence).
 
Okay.But what about the 2nd part.That is more important.Please read that too.
 
The weight reading is actually the force needed to balance the torque of the other arm. Since distances are equal from both sides this aspect is not important. But how do you suppose the force on the vessel changes if the thread were tied to the other end?
 
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