page_title: Instant centre of rotation
hierarchical_section_title: Instant centre of rotation
caption_attribution_description: sketch used to clarify determination of intantaneous centres of rotation, P, P1, and P2; also represented are three points A, B, and C, and the associated velocity vectors VA, VB, and VC.
context_page_description: The instant center of rotation, also called instantaneous velocity center, or also instantaneous center or instant center, is the point fixed to a body undergoing planar movement that has zero velocity at a particular instant of time. At this instant, the velocity vectors of the trajectories of other points in the body generate a circular field around this point which is identical to what is generated by a pure rotation.
  Planar movement of a body is often described using a plane figure moving in a two-dimensional plane. The instant center is the point in the moving plane around which all other points are rotating at a specific instant of time.
  The continuous movement of a plane has an instant center for every value of the time parameter. This generates a curve called the moving centrode. The points in the fixed plane corresponding to these instant centers form the fixed centrode.
  The generalization of this concept to 3-dimensional space is that of a twist around a screw. The screw has an axis which is a line in 3D space, and the screw also has a finite pitch.
context_section_description: The instant center of rotation, also called instantaneous velocity center, or also instantaneous center or instant center, is the point fixed to a body undergoing planar movement that has zero velocity at a particular instant of time.  At this instant, the velocity vectors of the trajectories of other points in the body generate a circular field around this point which is identical to what is generated by a pure rotation.
  Planar movement of a body is often described using a plane figure moving in a two-dimensional plane. The instant center is the point in the moving plane around which all other points are rotating at a specific instant of time.
  The continuous movement of a plane has an instant center for every value of the time parameter. This generates a curve called the moving centrode. The points in the fixed plane corresponding to these instant centers form the fixed centrode.
  The generalization of this concept to 3-dimensional space is that of a twist around a screw.  The screw has an axis which is a line in 3D space (not necessarily through the origin), and the screw also has a finite pitch (a fixed translation along its axis corresponding to a rotation about the screw axis).
caption: Sketch 1: Instantaneous center P of a moving plane
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