The wheel has a weight W and a radius of gyration k_G. If the coefficients of static and kinetic friction between the wheel and the plane are μ_s and μ_k, determine the maximum angle θ of the inclined plane so that the wheel rolls without slipping. Given:

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W = 30 lb KG = 0.6 ft Hs = 0.2 r = 1.25 ft 0 = 12 deg Mk 0.15