Model a block on a moving conveyor belt anchored to a wall by a spring, using different models for the friction force . Compare positions and velocities for the different models. This model incorporates four types of friction: viscous, Coulomb, Stribeck, and static.
Viscous friction is proportional to the relative velocity :
The block quickly settles in a stable position:
Coulomb friction is proportional to the sign of relative velocity :
With the addition of Coulomb friction, the block initially sticks to the belt before settling down:
Stribeck friction is a refined Coulomb friction Fstrγ sgn(v) e-2 :
The relative effect of Stribeck friction in the model is small:
Static friction holds the block in place until the spring force exceeds some value , depending on the roughness of the surfaces:
The block repeatedly sticks to the belt due to frictional forces and then slips back due to the spring force: