Rotating surface/friction question

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Homework Statement


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The Attempt at a Solution


Hey guys, I understand how to find the static friction point (equate mv2/r to max static friction). However, I'm confused as to which direction (in to out or out to in) is the correct one ie. from kinetic slipping to 'sticking'. At the moment I'm thinking it's outside in (Jo's answer) but I can't justify it properly. Thanks!
 
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You've determined the boundary where it starts to slip. And the boundary is dependent on

μ*m*g > m*ω²*r

or

r < μ*g/ω²

This means that outside this distance it slips doesn't it? If the aim is to have it slip until it grabs then ...