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If you place an uniformly dense wooden cube in water, would it float:

  • face up
  • vertex up
  • edge up

And why would that be the case?

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You should study the condition of buoyancy stability for these three cases: the center of gravity must be below the metacenter (http://www.cns.gatech.edu/~predrag/courses/PHYS-4421-13/Lautrup/buoyancy.pdf).

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  • $\begingroup$ While this link may answer the question, it is better to include the essential parts of the answer here and provide the link for reference. Link-only answers can become invalid if the linked page changes. - From Review $\endgroup$ – JMac Oct 20 '19 at 18:18
  • $\begingroup$ @JMac : I did include the essential part: the center of gravity must be below the metacenter. $\endgroup$ – akhmeteli Oct 20 '19 at 18:22
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    $\begingroup$ @akhmeteli: I am mildly curious about the orientation of the cube. I still don't know even after reading your answer. Your answer shouldn't rely on a linked document, especially a 16-page linked document where you don't give a relevant page number. As a matter of, that document doesn't even answer the question. It is left to the student as problem 3.13 on the last page. The document seems like a very good reference, but you should have probably provided the link in a comment instead of an answer. $\endgroup$ – James Oct 21 '19 at 15:46
  • $\begingroup$ Well the funniest part of this is that the person assumes that I am a student to lazy to do my homework when I have left uni for already 20 years ... just did not study physics :) $\endgroup$ – BlueTrin Oct 22 '19 at 2:45
  • $\begingroup$ @BlueTrin : First of all, I did not want to offend anybody. Your question, however, does have the "homework-and-exercises" tag and looks very much like homework. There is nothing wrong with that, but that means that I could not give a complete solution, so I just gave a hint. Even if the hint is not enough, I cannot do anything about that. $\endgroup$ – akhmeteli Oct 22 '19 at 3:11

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