On the edge of a horizontal platform shaped like a disk with a radius of 2 m and a mass of 200 kg, there is a person whose mass is 60 kg. The platform can rotate around a vertical axis passing through its center. Neglecting friction, determine the angular velocity of the platform if a person walks along its edge at a speed of 1 m/s relative to the platform. The moment of inertia of a person is considered as for a material point.

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