A horizontal circular platform has a weight of 300 lb and a radius of gyration kz = 8 ft 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 of 150 lb throws a 15-lb block off the edge of the platform with a horizontal velocity of 5 ft/s, measured relative to the platform. Determine the angular velocity of the platform if the block is thrown (a) tangent to the platform, along the +t axis, and (b) outward along a radial line, or +n axis. Neglect the size of the man.
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