A cat dozes on a stationary merry-go-round in an amusement park, at a radius of 5.4 m from the center of the ride.Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.0 s.What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding (or the cat clinging with its claws)?

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.