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The static equilibrium deformation of a heavy spring due to its own weight iscalculated for two cases. First for a spring hanging in a constantgravitational field, then for a spring which is at rest in a rotating systemwhere it is stretched by the centrifugal force. Two different models areconsidered. First a discrete model assuming a finite number of point massesconnected by springs of negligible weight. Then the continuum limit of thismodel. In the second case the differential equation for the deformation isobtained by demanding that the potential energy is minimized. In this way asimple application of the variational calculus is obtained.

Static deformation of heavy spring due to gravity and centrifugal force