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Related Concept Videos

Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
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...
Equation of Motion: Rotation About a Fixed Axis01:18

Equation of Motion: Rotation About a Fixed Axis

Consider a flywheel, having an uneven mass distribution, rotating steadily around a fixed axis. As this rotation occurs, the center of mass of the flywheel traces a circular path. Understanding the acceleration of this center of mass requires observing both its tangential and normal components.
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,...
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque exerted...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Updated: Jun 23, 2026

Rotating the Intraocular Lens to Prevent Posterior Capsular Opacification in Cataract Surgeries
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Published on: July 7, 2023

Conjunct rotation: Codman's paradox revisited.

Sebastian I Wolf1, Laetitia Fradet, Oliver Rettig

  • 1Orthopädische Universitätsklinik Heidelberg, University of Heidelberg, Schlierbacher Landstr. 200a, 69118 Heidelberg, Germany. sebastian.wolf@ok.uni-hd.de

Medical & Biological Engineering & Computing
|April 28, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a mathematical model for Codman

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Area of Science:

  • Biomechanics
  • Orthopedics
  • Sports Science

Background:

  • Codman's concept of "conjunct rotation" describes paradoxical shoulder movement.
  • Understanding shoulder joint kinematics is crucial for clinical and sports applications.

Purpose of the Study:

  • To mathematically formalize Codman's conjunct rotation.
  • To develop a method for assessing shoulder joint axial position and rotation.
  • To provide a more intuitive understanding of complex shoulder movements.

Main Methods:

  • Developed the concept of reference vector fields.
  • Defined the neutral axial position of the humerus using these fields.
  • Avoided coordinate singularities common in 3D joint motion analysis.

Main Results:

  • A mathematical framework for conjunct rotation has been established.
  • The reference vector field method defines humerus neutral axial position across various orientations.
  • The approach minimizes coordinate singularities for shoulder assessment.

Conclusions:

  • The formalized concept of conjunct rotation offers a novel approach to shoulder kinematics.
  • This method facilitates postural and axial assessment of the shoulder joint.
  • It aids in understanding complex shoulder movements in clinical and sports contexts.