Answer: Boa Constrictor
Here’s the question.
Consider a differential element of length along the boa constrictor. It’s being pulled by a tension on the left and a tensions on the right. These pull in different directions by an angle . Then the maximum force friction can exert on this differential element is . This is also the amount that $T$ can increase over the differential element, so . This gives . So if Debbie is strong enough to pull the snake, all the snake has to do is wrap around a little bit further, because how strong Debbie has to be to pull the snake grows exponentially with the angle it’s wrapped.
New Problem: But Who’s Counting?
What’s the best strategy for the following game?