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Speaking of rolling.
Some students and I were working on the problem wherein a rope is wou=
nd around a barrel to pull it forward. The rope pulls the top of the =
barrel as it unwinds. When you calculate the acceleration of the barr=
el, it is greater than would it would be if the rope simply pulled at=
the center of mass. This must imply that the friction force on the b=
arrel pushes it forward, a surprising result to us at least.
Anything wrong with our analysis?