Hmm, this reminded me of an empirical discovery I made: When walking with an open coffee cup at hand oscillating your hand vertically in random fashion greatly

Hmm, this reminded me of an empirical discovery I made: When walking with an open coffee cup at hand oscillating your hand vertically in random fashion greatly reduces the coffee resonance and the sloshing effect. This problem has been investigated before (http://www.sciencemag.org/news/2012/05/physics-spilled-coffee http://www.sciencemag.org/news/2012/05/physics-spilled-coffe...) but AFAIK the above solution has not been proposed. I wonder if the theorem given can help motivate this finding?