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DJEHUTY

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Truth is necessary for autonomy.
Articles Posted: 71  Links Seeded: 1110
Member Since: 3/2006  Last Seen: 5/07/2012

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Turning a Wobbly Table Will Make It Steady

Seeded on Mon Feb 18, 2008 4:34 AM EST
Read ArticleArticle Source: Sciam
science, topology, practical-science
Seeded by Djehuty
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It's a problem as old as civilization: the wobbly table. You may have thought your only recourse against this scourge is a hastily folded cocktail napkin stuffed under the offending leg. If so, take heart, because mathematicians have recently proved a more elegant solution. Just rotate the table.

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  • Public Discussion (5)
generaldecay

Really? Um. I'm sceptical!

  • 1 vote
Reply#1 - Mon Feb 18, 2008 6:36 AM EST
tigerblade

Yeah... not so much. I tried this with a table a few months ago and nothing worked. No amount of turning ever made it not-wobbly.

    Reply#2 - Mon Feb 18, 2008 10:36 AM EST
    Angel_C

    Well, it's got lots of math behind it, so it must be true! :-)

    • 1 vote
    Reply#3 - Mon Feb 18, 2008 10:48 AM EST
    Djehuty

    I don't think mathematicians get the difference between an ideal world and reality.

    • 1 vote
    Reply#4 - Mon Feb 18, 2008 2:58 PM EST
    Sobriquet

    This is an application of the intermediate value theorem (a simple theorem essential to calculus and other fields), but it relies on an assumption that all of the legs of the table are the same length. A table that fits this criterion will wobble if the ground is uneven. When this is the case, rotating the table will eventually lead to a placement where all four legs are touching the ground. This does not mean, however, that the table will be level.

    Notice that this does nothing to solve your problem if the table is on a flat surface with uneven legs. A more practical solution is to use tables with individually adjustable leg lengths, allowing for a level and stable table surface on any realistic floor geometry.

    • 1 vote
    Reply#5 - Tue Feb 19, 2008 2:38 AM EST
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