Wagon collision: Difference between revisions
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[http://www.amazon.com/Ordinary-Differential-Equations-V-Arnold/dp/0262510189: Ordinary Differential Equations] - V. I. Arnold's book on ODEs. | [http://www.amazon.com/Ordinary-Differential-Equations-V-Arnold/dp/0262510189 : Ordinary Differential Equations] - V. I. Arnold's book on ODEs. | ||
Revision as of 22:28, 6 November 2010
This puzzle appears in V. I. Arnold's classical text on ODEs, where its attributed to N.N. Konstantinov.
Puzzle
Suppose there are cities A and B connected to each other by two non-intersecting roads. Furthermore, suppose we know that two cars attached by a rope of length less than 2R are able to travel together on different roads from city A to city B without the rope tearing. Given this, is it possible for two circular wagons, each of radius R, each traveling along its center and each starting in a different city, to travel in opposite directions along different roads without colliding as they pass?
Help
Hint
Nothing here yet.
Solution
Nothing here yet.
References
: Ordinary Differential Equations - V. I. Arnold's book on ODEs.