A spool has a weight W = 450 lb, outer and inner radii R = 6 ft and ρ = 4.5 ft, respective...

A spool has a weight W = 450 lb, outer and inner radii R = 6 ft and ρ = 4.5 ft, respectively, radius of gyration kG = 4.0 ft, 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.

Figure P7.73

Assume that the spool rolls without slipping with respect to both the cable and the ground. If the pickup truck pulls the cable with a force P = 125 lb, determine the acceleration of the center of the spool and the minimum value of the static friction coefficient between the spool and the ground.