A spool has a weight $W=450lb,$ outer and inner radii $R=6ft$ and $=4\mathrm{.}5ft,$ respectively, radius of gyration $k_G=4\mathrm{.}0ft,$ and mass center at $G.$ The spool is being pulled to the right as shown, and the cable wrapped around the spool is inextensible and of negligible mass.

Assume that the spool rolls without slipping with respect to both the cable and ground. If the pickup truck pulls the cable with a force $P=125lb,$ determine the acceleration of the center of the spool and the minimum value of the static friction coefficient between the spool and the ground that is compatible with this motion. $I_G=m{k}^2$ and $I_0=I_G+m{R}^2.$