This movement takes about 4 minutes--scroll along to see the results.
This is a simple test rig (mostly 3d printed) based on a design by John Walker http://www.fourmilab.ch/gravitation/foobar/
Gravity is a weak attraction between two objects (beyond that, things get pretty speculative). This "gravity bar" is a rod with lead weights on the ends. It is suspended from a ladder using 6 pound test fishing line. A "daggerboard" on the bottom of the rod sits in water to dampen rotation.
Bar with fins to hold weights (3d print from file in next step or fabricate as shown by John Walker above).
Wire (I used about 24 inches of #26 magnet wire--most any wire will suffice)
About six feet of six pound fishing line
Small plastic cup to hold water
To follow the latest, go here.
Tie the wire through the end holes of the bar. These loops will join together above the bar and connect to the single strand of fishing line.
Tie the fishing line from the gravity bar to the top of the ladder.
Place the lead weights on the end of the rod--until the rod is balanced. Place water in a plastic cup and be sure that the fin is in the water while the fin and the bar do not touch the cup.
Let the rig rest for about 36 hours so that the fishing line will untwist and stretch.
Place the steel balls adjacent to the lead weights as shown. Very slowly (around 4 minutes), the rod will twist and the weights will move close to one another.
This rig needs to be in a room without a lot of vibration or air currents (garage or basement without climate control works well).