  In this paper, we study the dynamical instability of a collapsing object in
the framework of generalized teleparallel gravity. We assume a cylindrical
object with a specific matter distribution. This distribution contains energy
density, isotropic pressure component with heat conduction. We take oscillating
states scheme up to first order to check the instable behavior of the object.
We construct a general collapse equation for underlying case with non-diagonal
tetrad depending on the matter, metric functions, heat conducting term and
torsional terms. The Harrison-Wheeler equation of state which contains
adiabatic index is used to explore the dynamical instability ranges for
Newtonian and post-Newtonian constraints. These ranges depend on perturbed part
of metric coefficients, matter parts and torsion.
