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Radius of gyration, coefficient of restitution and other obscure forces cause tethered pins to fly around differently than their free-fall counterparts.

The attenuated polarization potential in LGS-mPol yields a spectrum that is red-shifted from experiment by 0.7 eV, which makes sense given the larger radius of gyration predicted by this model.

In mechanics, the ellipsoid of gyration or inertia is such that the perpendicular from the centre to a tangent plane is equal to the radius of gyration of the given body about the perpendicular as axis; the “momental ellipsoid,” also termed the “inverse ellipsoid of inertia” or Poinsot’s ellipsoid, has the perpendicular inversely proportional to the radius of gyration; the “equimomental ellipsoid” is such that its moments of inertia about all axes are the same as those of a given body.

Although a column is normally subjected to compressive stresses, when the slenderness ratio—that is, the length divided by the radius of gyration of the cross section—becomes great, a secondary bending stress may be produced.

If k be the radius of gyration of a bob round a horizontal axis through its centre of gravity, h the distance of its centre of gravity below its point of suspension, and k’ the radius of gyration of the bob round the centre of suspension, then k′� = h� + k�.