How Does the Two-String Box Work with Strings and Corks?

AI Thread Summary
The two-string box operates using a system of pulleys or wheels connected to an axle, allowing for the manipulation of string lengths from both ends. When the right cork is pulled, it releases 60cm of string, while pulling the left cork simultaneously retracts the right string by 6cm. This suggests a mechanical advantage or a specific configuration of the internal components that balances the string lengths. Understanding the mechanics of pulleys and how they can be arranged within the box is essential for replicating the model. A clear design will enable the construction of a similar functional device.
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So My Teacher Posed this Problem, And It Really Bugs Me That I Can't Figure It Out...
You have a closed shoebox with two strings, with corks attached, protruding from either ends. When you pull on the right cork 60cm of string can be pulled out. When you pull on the left cork, the right string goes in, and 6cm of string can be pulled out. How is this possible, what is inside the box? Please explain, so that I can make a similar model!
 
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