All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Around the bend (Posted on 2004-03-13) Difficulty: 2 of 5
What is the longest pole I can swing around the 90 corner of a hallway of unit width?

For the simplicity of this problem, the pole must be kept exactly horizontal, while maneuvering it.

See The Solution Submitted by SilverKnight    
Rating: 2.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question It seems to me... | Comment 5 of 8 |

That the length 2 * sqrt (2) is just long enough to not be a possible solution...  You can't "Austin Powers" the pole if the given length restricts any movement whatsoever.  Theoretically, the length of this hypothetical pole should be just shy (infinitesimally smaller) than 2 * sqrt (2).

Here I have a quick question:  are we assuming the width of this pole to be nonexistent--that the pole is just a line?  If not, this problem might be practically solved if we also include the smallest measurement we will allow for adjusting the pole back and forth (given a 5 cm diameter cylindrical pole, 1/2 cm rotation shouldn't be too far out of the question...)

  Posted by Benjamin J. Ladd on 2004-03-13 23:48:24
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information