Despite enormous amounts of off centre weight in unpredictable locations, a spin dryer does not shake itself to pieces. The drum is allowed to oscillate as it sees fit and by some advanced gobbledygook in dynamics the centre of mass of the drum and contents tends to align with the axis of the bearing, hence minimising forcing of the rest of the machine.
Many thousands of years ago when I was at university I was told of the advanced gobbledygook, but can find no reference to it online. Any ideas?
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