A horizontal circular platform has a weight W₁ and a radius of gyration k_z about the z axis passing through its center O. The platform is free to rotate about the z axis and is initially at rest. A man having a weight W₂ begins to run along the edge in a circular path of radius r. If he has a speed v and maintains this speed relative to the platform, determine the angular velocity of the platform. Neglect friction.

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Given: ft W₁ = 300 lb v = 4- S W2 = 150 lb r = 10 ft k₂ = 8 ft