Chain and spinning disk problem

1. The problem statement, all variables and given/known data
A chain is wrapped around a disk of radius R. The tension of chain is T. What is the coefficient of friction, if when the disk is spinning at angular velocity ω, the chain slips down?

See image attached.

2. Relevant equations
II Newton law
[itex] a_{centripetal} = \frac{v^2}{R}[/itex]
k = F \ N

3. The attempt at a solution
I’m not even sure where to start – I don’t really understand, why does the chain slip? Is it because friction can’t ‘hold’ it anymore? Does chain tension depend on the rotation?

Can we say that the chain slips when F(friction) < mg ?

Attached Images
File Type: png Screenshot from 2014-03-04 20:59:12.png (13.0 KB)

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