The problem involves a cylinder rolling without slipping that collides with a fixed nail, and the objective is to determine the height of the nail above the floor such that the cylinder rolls back without slipping. The discussion centers around concepts of momentum conservation, angular momentum, and the effects of forces during the collision.
The discussion is ongoing, with various interpretations of the forces at play and the role of friction being debated. Some participants have suggested specific equations and relationships, while others express confusion about the assumptions being made regarding friction and torque.
There is a focus on the assumption that the nail applies only a lateral force, which has led to discussions about the unrealistic nature of this scenario. Participants are also grappling with the implications of the cylinder's motion and the conditions under which it rolls without slipping.
tiny-tim said:
Oerg said:
tiny-tim said:But if the point of application is off-centre, then the wheel will accelerate and will start to turn.
You agree?
Then, if you judge the point of application right, the velocity and the turn may match, and there will be no slipping - even on ice!