Rollen zonder uitglijden

When an object performs pure translational motion without acceleration on a frictionless surface, only two forces act on it.

For the object to spin, torque is required. If friction is introduced, the frictional force acts opposite to the direction of the linear velocity, producing the torque.

This torque produces an angular acceleration, and the object starts spinning. As the spinning speed becomes sufficiently large, the angular speed of the object is enough to cancel the tangential speed of the point in contact with the surface.

The tangential velocity of this point is equal and in the opposite direction to that of the center of mass, resulting in zero velocity. This motion is called rolling without slipping.  

Here, the center of mass of the object follows a linear path, but the point on the rim of the object follows a cycloid path.

In one complete rotation of the object, the center of mass moves by the linear distance equal to the circumference of the rolling object.