During the drop, the magnetic repulsion becomes dominant and the upper magnet moves rapidly away from the lower magnets. Shown in figure 6. In this situation, the object will be weightless because weight is a measure of the object's resistance to gravity. While the object is freely falling, there is no resistance to gravity, and the object becomes weightless. For a person climbing a rope, that opposing force results from the rope pulling the person upward, just as gravity pulls downward.
Gravity is such that objects fall at the same acceleration regardless of their mass.
So the person and the broken end of rope would fall together, and relative to the falling person, the broken end of the rope would be floating. The experiment platform can be as simple as a wooden board to which the experiment and video camera are mounted. A drop structure is useful, but not required for reduced-gravity demonstrations. The structure merely provides a convenient way of hoisting and releasing the experiment platform. Instead, someone could simply hold the experiment platform in their hands and let go to initiate a drop.