  We study the steady state distribution of the energy of the
Sherrington-Kirkpatrick model driven by a tapping mechanism which mimics the
mechanically driven dynamics of granular media. The dynamics consists of two
phases: a zero temperature relaxation phase which leads the system to a
metastable state, then a tapping which excites the system thus reactivating the
relaxational dynamics. Numerically we investigate whether the distribution of
the energies of the blocked states obtained agrees with a simple canonical form
of the Edwards measure. It is found that this canonical measure is in good
agreement with the dynamically measured energy distribution. A possible
experimental test of the Edwards measure based on the study here is proposed.
