What Is the Least Static Friction Coefficient for a Cat on a Merry-Go-Round?

[Vaness330]

Hi can someone help me on this problem.

a cat dozes around merry go round at radius 5.4 meters. the ride turns on and brought up to turning rate of 7.2 seconds in one complete rotation. how do i find the least static friction coefficient between the cat and the merry go round that will allow the cat to stay in place, without sliding out.

 

[rcgldr]

Compare the centripetal force to gravitational force (the ratio).