A power law describes the relationship between the geometric properties of a trajectory (radius of curvature) and movement kinematics (tangential velocity) in curved drawing movements. Although the power law is a general law of motion, there are conditions under which it degrades. In particular, the power law may be less explanatory of movements around certain joints. The present study considered how varying motion around different joints influenced the fit of the power law. Motions associated with 'nger and wrist, or elicited by an isometric force production task, were compared. The power law was most explanatory of 'nger motion and isometric production and least explanatory of wrist motion. The fit of the power law for finger and wrist motion suggested separate laws for each joint system. Since the fit of the power law was better for finger than for wrist motion, there is some suggestion that the power law better explains motion around fewer or simpler joint systems.
Saling, L. L., & Phillips, J. G. (2005). Variations in the Relationship between Radius of Curvature and Velocity as a Function of Joint Motion. Human Movement Science, 24(5-6), 731-743. https://doi.org/10.1016/j.humov.2005.09.001