A cat dozes on a stationary merry-go-round, at a radius of 5.40 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper tuning rate of one complete revolution every 6.00 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 when it is to the right of the center of the ride, without sliding?

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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.