I recall doing a team building exercise where a team of about 4 people needed to balance a teeter totter, so that neither of the ends was touching the ground. They could achieve this by having the team members move to different parts of the teeter totter. Here there was a plywood board (about 4m by 2m) centred on top of a log (diameter about 30cm with length about 2m).
I was wondering what is the best way (according to physics) to balance that teeter totter. I thought it would be best to have everyone move to the opposite ends of the teeter totter. In this case each person has the largest moment possible and any differences caused by imperfections in the system would be less significant than if everyone was at the centre.
In typical physics problems we assume a perfect system where you can easily calculate the moments of each person and balance their moments. However, here imperfections in the system are what make this task more challenging (warped board, imperfect fulcrum, humans having a mass distribution, etc).
Can you offer any better solutions for balancing the teeter totter with all team members participating. For example having everyone at the centre, having people lying down on the teeter totter, having all but one person on the outside with one person at the centre to move and balance the beam.