A kid places a toy on the outermost edge of a merry go round. The amusement park ride has a radius R and period T. What is the smallest value of us (static friction coefficient) between the toy and merry go round where the toy is able to stay on the ride?

mg*mu=m*w^2*r= m*(2pi/period)^2*R

mu= 4*R*PI^2/g*T^2