Let the left most spring stiffness be the middle spring stiffness be
and
the rightmost spring stiffness be
. Let the mass of the left cylinder be
and
the mass of the right cylinder be
.
The generalized coordinates are and
. Using Lagrangian
method we find
Therefore
and for
and for
Hence EQM are
or
we obtain the equations of motion
For the special case when ,
and
we
obtain