Motion given by circular and linear trajectories

Planar kinematic geometry

© doc. Ing. Ivana Linkeová, Ph.D.

-----------------------

Specification of a motion

The following rules are valid for a motion given by circular 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 circular trajectory and point envelope and circular trajectory and circular envelope are inverse motions.

Animation of a motion (motion given by curcluar and linear trajectories)

Fixed centrode (motion given by curcluar and linear trajectories)

Trajectory of a point (motion given by curcluar and linear trajectories)

Envelope of a circle (motion given by curcluar and linear trajectories)

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

Specification of inverse motion (motion given by curcluar and linear trajectories)

- Point A⁰ becomes the point envelope of trajectory τ^A; centre of circle τ^A moves along the circle with centre at point A⁰ and radius equal to the radius of circle τ^A.

- Point B⁰ becomes the point envelope of trajectory τ^B.

- Moving trajectory τ^B passes throug the centre of trajectoryτ^A.

Moving centrode (motion given by circular and linear trajectories)