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Solve a physics problem involving circular motion and friction by analyzing the forces acting on a person standing on a spinning merry-go-round. Calculate the maximum angular velocity at which a 60 kg person can remain standing 1.2 meters from the center before the static friction force is overcome, using the given coefficient of static friction of 0.6 between their shoes and the floor. Work through the complete solution step-by-step, applying principles of centripetal force, static friction, and rotational motion to determine the critical angular velocity that causes the person to slip and fall off the rotating platform.
