Take the pole into the room
The pole from the previous flatland post, is now going
into a large room off a hallway. The walls are 6 inches thick,
the door is 30 inches wide. The pole is 24 feet long.
The hall is not very wide. How wide would it have to be for
the 4 inch diameter pole to be taken into the room without bending it?
into a large room off a hallway. The walls are 6 inches thick,
the door is 30 inches wide. The pole is 24 feet long.
The hall is not very wide. How wide would it have to be for
the 4 inch diameter pole to be taken into the room without bending it?
Labels: funphysics, SharedPuzzle
posted by Ragknot at
8:34 PM
13 Comments:
Eh?
Anonymous, the problem is soluble and you have all the info needed.
If the pole had zero width, then the minimum width of the hall would be 50.481" approx.
Is the something wrong here? In flatland can a pole 24 foot long have a diameter? That indicates 3 dimensions, right?
This post has been removed by the author.
No problem. The pole has a length and a width, it doesn't have a height. I had automatically taken your diameter to be the width.
The term "diameter" is only used for circles and spheres. For a Flatlander, a circle is a sphere. Vengeance at last :)
If you really want some brain pain, check out the volume of a hyper-sphere.
Made myself a liar. I just used "diameter" to describe a hexagon - unpublished work.
Here's a part of picture. It gives the angle you would need.
Chris, the answer you gave is the purple line, not very close.
http://4.bp.blogspot.com/_gQkeSWqb63Q/SonzGFi4xhI/AAAAAAAAAFg/VfETKmmVWdM/s1600-h/Capture2d.JPG
You've changed all the dimensions.
... but I can see the purple line is way off from the 4" pole version. So I will accept that the width you gave is reasonable.
I just drew it in feet.... 30 inches is 2.5 feet, 6 inches is 0.5 foot, 0.3333 is 4 inches.
So you had. I'm was being a thicky from the island.
Solutions to my posts about taking the 24 foot pole from the hallway into the room are here.
http://ragknot.blogspot.com/
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