Motion given by linear trajectory and circular envelope

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 circular envelope (b) of straight line b:

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

- Straight line b is tangent line to the envelope (b) at each instant.

- Point A is the intersection of straight line b and trajectory τ^A.

Animation of a motion (motion given by linear trajectory and circular envelope)

Fixed centrode (motion given by linear trajectory and circular envelope)

Trajectory of a point (motion given by linear trajectory and circular envelope)

Envelope of a circle (motion given by linear trajectory and circular envelope)

Envelope of a straight line (motion given by linear trajectory and circular envelope)