The Harmonic Overhang Effect in Stacked Books

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The discussion centers on the "Harmonic Overhang Effect," which occurs when a stack of books is arranged in a staggered manner, creating a floating appearance for the topmost book. This effect is not referred to as a keystone but is related to the principles of balance and weight distribution. The standard solution to this phenomenon involves a series that sums to the harmonic series, specifically 1/2 plus 1/3 plus 1/4, and a more refined explanation was published in Science magazine. Participants in the thread confirm the name of the effect as "Harmonic Overhang." This concept illustrates interesting aspects of physics and balance in stacked objects.
Ulfsark
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Hello,
I'm curious as to the name of a particular "effect."

Imagine a stack of 10 books, uniform in weight and size, each 9 inches across. Now Imagine flaring them out in one inch intervals, forming a staircase. The topmost book is going to be one inch out from the bottom most book, and effectively "floating." What is the name of this? I know its not a keystone, but similar. I understand how it works, but i just don't know the name of it. Thank you :)

A picture of my own creation of the effect can be viewed here: http://i653.photobucket.com/albums/uu252/ulfsark9/StackedBooks.gif
 
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The standard solution limit is the series 1/2 plus 1/3 plus 1/4 plus 1/5 etc. But a better one was published in Science magazine under the title "The Joys of Longer Hangovers"
Bob S

See longer hangover here (see post #8):
https://www.physicsforums.com/showthread.php?t=305336
 
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Harmonic Overhang! Thank you!
 
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