Rolling, Torque, and Angular Momentum (Physics Question)

[Mr. Hanky]

The only thing that is implied when it comes to "static friction", is that 2 surfaces are NOT slipping. So if the rolling object has a diameter of d, then the angular velocity and translational velocity are simply governed by v=w*d/2 (v is velocity, w is omega or rotational velocity).

If the velocity is constant, then there will be a constant rotational velocity. If there is acceleration, then there will be a corresponding rotational acceleration. Under a no slip condition, the v=w*d/2 relation is in effect, at all times. When slip does occur, then this relation no longer holds true (and you then have to involve a dynamic friction coefficient and angular + translational acceleration/deceleration).