Question About Archimedes ? HELP

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The discussion revolves around a question regarding how Archimedes resolved the problem of the crown. Participants express frustration over perceived shouting and lack of effort in seeking answers. One user mentions finding the same article independently and emphasizes that the original question was straightforward to answer. There is a call for users to demonstrate their understanding and specify where they are struggling. The conversation highlights the importance of engaging with the material rather than simply seeking quick answers.
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Question About Archimedes ? HELP!

How Did Archimedes Resolve the problem of the Crown ?
 
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Mentz114 said:
https://www.math.nyu.edu/~crorres/Archimedes/Crown/CrownIntro.html

Please don't shout - and show some effort.

I have found the same article 2 days ago...
and I'm not shouting...
What effort do you want me to show anyway there you had the
question it needs to be answered...
This question was easy i just googled it ...
The question that no one could answer was the oil/water one
and i gave my effort on it and no one did it...
So don't accuse me of shouting... *:mad:
 
What's the point of this thread? Is there a problem you are stuck on? If so, show what you've done and where you are stuck.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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