Te wheel has mass m radius r and moment of inertia ig

Question

The wheel has mass m, radius R and moment of inertia I_G = mR²/2. The wheel is initially at rest, and it is subjected to a pair of forces with equal magnitude F and opposite directions as shown. When the wheel rolls without slipping, the coefficient of friction between the wheel and the floor is μ_s = .5. When the wheel rolls and slips, the coefficient of friction between the wheel and the floor is μ_k = .3. Find the acceleration of the center of the wheel if

(a) F = mg/2,

(b) F = mg.