I'm new here and not sure if this post is in the right spot (it's about Special Relativity) but here goes nothing. This problem--from the book Spacetime Physics by Taylor and Wheeler--is giving me a lot of trouble. What I think is that the scale will read zero in the air, because there is no force to be the reciprocal of your mass pushing down. What I don't understand totally is when it is in free float. I understand that free float is trying to isolate a small frame where the effects of gravity can be ignored (special relativity), but how does one explain what is happening with the scale and the trampoline?