Planar Kinematics

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 11)


In this chapter we study the geometry of planar displacements. The position of a moving body is defined by a coordinate transformation. Associated with each of these transformations is an invariant point called the pole of the displacement. We examine the relationship between relative positions of points in the moving body and the location of this pole. We also consider the triangle formed by the poles of two displacements and the pole of their composite displacement. The geometry of this triangle describes the relationship between the three displacements.


Rotation Angle Relative Displacement Planar Rotation Planar Translation Interior Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer New York 2011

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of California, IrvineIrvineUSA
  2. 2.Singapore Institute of Manufacturing TechnologySingaporeSingapore

Personalised recommendations