Related Experiment Video
Updated: May 10, 2026

A Structured Rehabilitation Protocol for Improved Multifunctional Prosthetic Control: A Case Study
Published on: November 6, 2015
Velocity-dependent changes of rotational axes during the control of unconstrained 3D arm motions depend on initial
Brice Isableu1, Clint Hansen, Nasser Rezzoug
1Univ Paris-Sud., UR CIAMS, EA 4532, Motor Control & Perception Team, Orsay F-91405, France. brice.isableu@u-psud.fr
Abstract:
The velocity-dependent change in rotational axes observed during the control of unconstrained 3D arm rotations may obey the principle of minimum inertia resistance (MIR). Rotating the arm around the minimum inertia tensor axis (e3) reduces the contribution of muscle torque to net torque by employing interaction torque. The present experiment tested whether the MIR principle still governs rotational movements when subjects were instructed to maintain the humeral long axis (SH-EL) as closely as possible to horizontal. With this view, the variability of 3D trajectories of the minimum inertia axis (e3), shoulder-center of mass axis (SH-CM) and shoulder-elbow axis (SH-EL) was quantified using a VICON V8i motion capture system. The axis for which the 3D variability displacement is minimal is considered as the one constraining the control of arm rotation. Subjects (n=15) rotated their arm in two elbow angular configurations (Elb90° vs. Elb140°), two angular velocity conditions (slow S vs. fast F), and two sensory conditions (kinaesthetic K vs. visuo-kinaesthetic VK). The minimum inertia axis e3 is angled 5.4° away from SH-CM axis, and varied from 27° to 15° away from de SH-EL axis, for Elb90° and Elb140°, respectively. We tested whether the participants would be able to maintain the instructed SH-EL rotation axis or if increasing the frequency of the arm rotations would override the initial rotation instructions and cause the limb to rotate around an axis closely aligned with e3. We expected that VK inputs would minimize the variability of the SH-EL axis and that K should facilitate the detection and rotation around e3 at the faster velocity. Taken together the results showed that the initial instruction, favoring rotation around the SH-EL axis, prevented the velocity-dependent change towards the minimum inertia (e3) and/or the mass axis (SH-CM), i.e., use of the MIR principle. However, the variability of the SH-EL axis was significantly increased in the F condition, confirming that arm rotations around the SH-EL axis produces larger mechanical instabilities in comparison to when the arm is rotated around a mass/inertial axis (Isableu et al., 2009).
Related Concept Videos
Relative Motion Analysis using Rotating Axes
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Kinematic Equations for Rotation
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
Relative Motion Analysis using Rotating Axes - Acceleration
Time differentiation is...
Rotational Motion about a Fixed Axis
Relative Motion Analysis using Rotating Axes-Problem Solving
Here, in order to determine the magnitude of velocity and acceleration for point...
Equation of Motion: Rotation About a Fixed Axis
The tangential component is dependent on the direction of the angular acceleration of the flywheel. The tangential component of the acceleration propels the flywheel along its path. On the other hand,...

