  The way granular materials response to an applied shear stress is of the
utmost relevance to both human activities and natural environment. One of the
their most intriguing and less understood behavior, is the stick-instability,
whose most dramatic manifestation are earthquakes, ultimately governed by the
dynamics of rocks and debris jammed within the fault gauge. Many of the
features of earthquakes, i.e. intermittency, broad times and energy scale
involved, are mimicked by a very simple experimental set-up, where small beads
of glass under load are slowly sheared by an elastic medium. Analyzing data
from long lasting experiments, we identify a critical dynamical regime, that
can be related to known theoretical models used for "crackling-noise"
phenomena. In particular, we focus on the average shape of the slip velocity,
observing a "breakdown of scaling": while small slips show a self-similar
shape, large does not, in a way that suggests the presence of subtle inertial
effects within the granular system. In order to characterise the crossover
between the two regimes, we investigate the frictional response of the system,
which we trat as a stochastic quantity. Computing different averages, we
evidence a weakening effect, whose Stribeck threshold velocity can be related
to the aforementioned breaking of scaling.
