The circular disk of 200-mm radius has a mass of 25 kg with centroidal radius of gyration mm and has a concentric circular groove of 75-mm radius cut into it. A steady force T is applied at an angle θ to a cord wrapped around the groove as shown. If T = 30N, θ = 0, μs = 0.10, and μk = 0.08, determine the angular acceleration of the disk, the acceleration α of its mass center G, and the friction force F which the surface exerts on the disk.