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

 Around the bend (Posted on 2004-03-13)
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.)
 and if... | Comment 2 of 8 |

and if the pole has width W,

2*[sqrt(2) - W]

I'm picturing the pole at a 45 degree angle with its midpoint touching the corner and its ends touching the outer walls jammed in place.  But by symmetry, if it could jam into that position then it can keep going and jam out of that postion as it completes the turn.   But I think I scratched the paint.

 Posted by Larry on 2004-03-13 10:56:59
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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