  We construct a simple but self-consistent collapsar model for gamma-ray
bursts (GRBs) and SNe associated with GRBs (GRB-SNe).Our model includes a black
hole, an accretion disk, and the envelope surrounding the central system.The
evolutions of the different components are connected by the transfer of the
mass and angular momentum.To address properties of the jet and the wind-driven
SNe, we consider competition of the ram pressure from the infalling envelope
and those from the jet and wind.The expected properties of the GRB jet and the
wind-driven SN are investigated as a function of the progenitor mass and
angular momentum.We find two conditions which should be satisfied if the
wind-driven explosion is to explain the properties of the observed GRB-SNe. (1)
The wind should be collimated at its base, and (2) it should not prevent
further accretion even after the launch of the SN explosion. Under these
conditions, some relations seen in the properties of the GRB-SNe could be
reproduced by a sequence of different angular momentum in the progenitors.Only
the model with the largest angular momentum could explain the observed
(energetic) GRB-SNe, and we expect that the collapsar model can result in a
wide variety of observational counterparts mainly depending on the angular
momentum of the progenitor star.
