Consider the system shown below. Assume a massless inelastic cord, frictionless axles, and that the system is released from rest. Assume the rolling cylinder to be solid and uniform, and that the pulley is a solid uniform disk.

Let $R=18\mathrm{.}2cm$ and $m=7\mathrm{.}7kg.$ with proportions as given in the diagram.

Let the angle of incline be $15\mathrm{.}5$ degrees above the horizontal.

Determine the minimum force of static friction necessary for the cylinder to exhibit perfect rolling.

Express your answer in $N,$ to at least one digit after the decimal point.