(1) If you have a good basement, build a pendulum and measure how it also go around in circle. (The plane the pendulum swings should be slowly rotating if you leave the pendulum undisturbed). You have to figure out how to make the pendulum swing long enough for the plane's rotation to be measurable.
(2) Have two pendulums. First, have a wire that goes say the X direction, have both pendulums be of un-equal length, both tide to the wire at the fixed end, and have both pendulum's swing-plane in the Y direction. Measure how one pendulum affects the others. (Energy will transfer from one pendulum to another with the wire being the medium of energy transfer.)
(3) Try it with three pendulums (of equal length). (a) See if you can work out the "why's" on what you see, and (b) do research on the math.
(4) Try using a shorten middle pendulum. (a) See if you can work out the "why's" on what you see, and (b) do research on the math.
(5) Now work out the math what you should see with #4, but change the middle pendulum to twice the length of the two other ones. Last-build these three pendulum and see if what you worked out theoretically matches what you see after you have them swinging.
Budget: 3 bowling balls, some Delrin type plastic, some wires, some 2x4 wood stud...
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