A girl sits snugly inside a large tire such that together the girl and tire have a total weight W, a center of mass at G, and a radius of gyration k_G about G. If the tire rolls freely down the incline, determine the normal and frictional forces it exerts on the ground when it is in the position shown and has an angular velocity ω. Assume that the tire does not slip as it rolls.

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Given: W = 185 lb kG = 1.65 ft @=6 rad S b = 2 ft a = 0.75 ft 8 = 20 deg