Motion given by two linear trajectories

Planar kinematic geometry

© doc. Ing. Ivana Linkeová, Ph.D.

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Specification of a motion

The following rules are valid for a motion given by linear trajectory τ^A of point A and linear trajectory τ^B of point B

- Point A is located on trajectory τ^A at each instant.

- Point B is located on trajectory τ^B at each instant.

- The distance ||AB|| of points does not change.

This motion and the motion given by two point envelopes, circular and point envelopes and two cicular envelopes are inverse motions.

Animation of a motion (motion given by two linear trajectories)

Fixed centrode (motion given by two linear trajectories)

Trajectory of a point (motion given by two linear trajectories)

Envelope of a circle (motion given by two linear trajectories)

Envelope of a straight line (motion given by two linear trajectories)

Specification of inverse motion(motion given by two linear trajectories)

- Point A becomes the point envelope of trajectory τ^A.

- Point B becomes the point envelope of trajectory τ^B.

- The angle formed by two moving trajectories τ^A, τ^B does not change during the motion.

Moving centrode (motion given by two linear trajectories)