If a stool with three legs is pushed (horizontally) on one leg in the direction of the axis passing through the other two legs, it starts both moving and rotating.
Is it correct to assume 1/3 of force on each of the legs? This comes a bit in contrast with intuition. If we imagine the legs flexible, then the pushed leg should deform more (i.e. stronger friction force).
What is the correct modeling of the friction forces?
p.s. this seems a simplified version of Push a box in a plane with friction. How to deal with the rotation? but there's no clear answer in that thread.