A wheel with center O, radius R, weight W, radius of gyration kG, and center of mass G at...

A wheel with center O, radius R, weight W, radius of gyration kG, and center of mass G at a distance ρ from O is released from rest on a rough incline. The angle ϕ is the angle between the segment OG (which rotates with the wheel) and the horizontal direction.

Figure P7.81 Let R = 1.5 ft, ρ = 0.8 ft, kG = 0.6 ft, W = 4 lb, and θ = 25°. In addition, let ϕ = 35° at the instant of release. Determine the minimum coefficient of static friction so that the wheel starts moving while rolling without slip. In addition, determine the corresponding angular acceleration right after release.