A 3.6-kg cat is sitting on the edge a merry-go-round that is spinning at 2.7 rad/s. The diameter of the merry-go-round is 5.6 m. How large is the static friction between the cat’s paws and the surface of the merry-go-round if it does not slip off?

Answer 1

I'm going to assume you want the friction coefficient and not the force because the force is just:

F = r omega^2 = 5.6 * 2.7^2

mu = Normal /F = 3.6*9.8/F