Spinning disk

I spin up a solid disk of mass MM and radius RR to some initial angular velocity ωi\omega_i. I then place the disk on a table that has friction. The disk rolls and slips on the table until it reaches some angular velocity ωf\omega_f, at which point it rolls without slipping. What is the ratio ωf/ωi\omega_f/\omega_i?

Details and assumptions

  • The disk initially has no linear momentum.
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