Suppose a second, horizontal spring will be coupled to the cylinder. The second spring is identical to the first one $($i$.$e$.$ same constant $k,$ also being considered massless, etc$)$ and, again, one end is connected to the cylinder's axle. The only difference is that the second spring is located to the right of the cylinder where it is connected horizontally to a second wall similarly to how the first one is connected to the left wall $($i$.$e$.$ at equilibrium both springs are neither stretched nor compressed$).$

The period $T$ of this altered system can be written as

$T=2\sqrt[\phantom{2}]{c\frac{M}{k}}$

Find the value for the factor $c,$ and enter its numerical value $(3$ sig.figs.$)$ in the box given below.