Today we revisited our question: How many kids does it take to balance against an adult on a teeter-totter? The question still felt a little vague: which kids? which adult? which teeter-totter?
To help us clarify our question, and maybe reveal some issues we hadn't considered, we quickly built a model.
The model suggested something curious: did Lux really weigh the same as Josh?
We quickly realized that distance from the fulcrum--radius--had something to do with how the teeter-totter behaved. Specifically, the two teeterers could always adjust their distance-from-fulcrum to bring the teeter totter--even if one weighed more than double the other!
Realizing what an interesting variable radius might be, we set to work on a 16-foot teeter-totter.