That's not a "superposition" in the sense of a quantum superposition, so it's better to use a different word to avoid confusion.
"superposition" can be used to describe behavior of either waves or particles ("quantum")
https://en.wikipedia.org/wiki/Superposition_principle#Wave_superpositionAnyway, we can say "wave interference" if that sounds better.
Yes, it's possible, but that doesn't really help anything. You need just as much energy to produce two waves that you combine to a particular magnitude as it would take to just create a wave of that magnitude in the first place. There's no such thing as a free lunch.
Well, we manipulate EM waves for various purposes, so likewise we could theorize at how to analogously manipulate gravity waves to study how gravity waves behave.
Don't bring up the Mach Effect, it has nothing to do with gravitational waves.
Alright, "Mach Effect" is an unverified conjecture, while Gravitational Waves are classical physics predicted by General Relativity. I was simply referring to the apparatus that uses oscillating masses, and not the conjecture itself. However, as a side-note, once Gravitational Waves are fully verified as real, then it would impact the theoretical conjecture around the possible Mach Effect.
Oscillating masses produce tiny waves. But they're so tiny that you can't produce a measurable gravity wave by combining them without have an impractically large number of them -- as much oscillating mass as if you just had one enormous mass you were oscillating. Either way, the energy involved is impractical.
That's why nobody has been able to detect gravity waves until now.
Whether a wave is tiny depends on what means you're using to detect it - as Einstein said, everything is relative.
That's why I mentioned atom interferometry - that method is capable of much greater sensitivity than LIGO.
It's a newer method, but one which now deserves to be developed further to help shed more light on things that light doesn't do as well on through classical interferometry.
While the Gravitational Waves LIGO is purported to have detected were generated by very large astrophysical phenomena (ie. colliding black holes), LIGO is detecting the waves from those phenomena across a very large distance of many lightyears. So while a man-made experimental apparatus that oscillates some masses is far smaller than massive black holes, at least the apparatus could be operated much closer to the detector, so that the falloff from R^2 isn't happening across many lightyears of distance. Yes, size matters - but distance matters too.
But if atom interferometers could be developed further, not only could they be used to detect the Gravitional Waves generated by large astrophysical phenomena that LIGO is detecting, but their high sensitivity could be used to one day measure man-made gravitational waves (ie. like from a tabletop apparatus with oscillating masses).
Learning how to manipulate gravity by exploiting its wave nature might not necessarily be for pulling objects. Perhaps we might learn how to create and modulate gravity waves for communications purposes, for example, just as we do with EM waves.