A 40-kg boy sits on top of the large wheel which has a mass of 400 kg and a radius of gyration kG = 5.5 m. If the boy essentially starts from rest at θ = 0°, and the wheel begins to rotate freely, determine the angle at which the boy begins to slip. The coefficient of static friction between the wheel and the boy is μs = 0.5. Neglect the size of the boy in the calculation.

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