The existence of Terra reaction energy can be demonstrated with a half swing of
a cycloid pendulum from start point to 6 o'clock continuing on as a conventional
pendulum's circular swing.
For equal start and finish heights the integrate pull to right for the cycloid section of
swing will be greater than the integrated pull to the left for the conventional section.
This difference in energy will lead to the pendulum rising above the starting point on
the left hand side. In other words there will be a gain in gravitational potential energy.
Experimentally it is probably easier to perform the inverse experiment using
push instead of pull.
A toy "Hot Car" starting at the beginning of the cycloid slope is allowed to progress onto the conventional slope where it will finish higher than its start point.
Th beauty of Hot Cars is that their wheels are so small that the the complicating factor of rotational energy is virtually eliminated.