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A 3.5 kg cat is near the edge of a 6.5 m diameter merry-go-round in a...

A 3.5 kg cat is near the edge of a 6.5 m diameter merry-go-round in a playground. A man pushes and accelerates the merry-go-round from rest at a uniform rate of 0.75 rad/s2. The cat clings tighter and tighter, but can only hold on with 150 N of force and eventually flies off.

At what tangential velocity will the cat fly off? This occurs when the needed centripetal force exceeds what the cat's claws can supply.

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