  In this paper we study the gravitational collapse of a molecular hydrogen gas
cloud composed of a core plus a gas envelope surrounding the core. We
numerically simulate the collapse of four cloud models to take a glimpse to the
time evolution of several dynamic variables, such as the angular momentum and
the $aem$ ratio, as well as the ratios between the thermal and rotational
energies with respect to the potential gravitational energy, denoted as
$\alpha$ and $\beta$, respectively, among others. We re-take those models
introduced by Arreaga et.al (Astronomy and Astrophysics, {\bf Vol. 509},
(2010), pag. A96.) in the present paper in order to produce different outcomes
of the collapsing cloud characterized in terms of the aforementioned dynamical
variables. Such characterization was missing in the paper by Arreaga et.al
(Astronomy and Astrophysics, {\bf Vol. 509}, (2010), pag. A96.), and here we
show that the gas envelope extension effects on the collapsing core can be
quantitatively compared.
