# Sliding off from the circular plate

1. Oct 19, 2011

### sheeproars

1. The problem statement, all variables and given/known data

Toby is on a merry-go-round. The coefficient of static friction between his feet and
the merry-go-round is 0.5. Toby is located 2 m from the center.
a. Once Toby starts to slide he is going to slide outward until he falls off the merry-go-round at radius = 3m. How many revolutions will the merry-go-round undergo during this part of his journey?

2. Relevant equations
f(friction) = u(coefficient of Friction) * N(Normal Force) = u*mg
Net F = ma_c = mv^2/r

3. The attempt at a solution
I thought I had to use kinetic friction but I wasn't sure because it wasn't given and there's no way to find it...
so I just used static friction.. f = u * mg
and friction is the only force working in this one.. so F net = f
u*mg = mv^2/r
m's cancel out and I got v = 3.1305m/s as the speed that he will start slipping off the merry-go-round. Then I thought may be I can use Kinematic equations to find the time and find the total revolution.. but I have no idea how to approach it.. help!