A spool of mass m = 300 kg, inner and outer radii ρ = 1.5 m and R = 2 m, respectively, and...

A spool of mass m = 300 kg, inner and outer radii ρ = 1.5 m and R = 2 m, respectively, and radius of gyration kG = 1.8 m, is placed on an incline with θ = 43°. The cable that is wrapped around the spool and attached to the wall is initially taut. If the static and kinetic friction coefficients between the incline and the spool are μs = 0.35 and μk = 0.3, respectively, determine the acceleration of G, the angular acceleration of the spool, and the tension in the cable once the spool is released from rest.

Figure P7.45