Variable friction on the Horizontal disc

Classical Mechanics Level 4

A uniform disc is rotating with angular velocity \(\omega \) and then it is gently placed horizontally on a rough horizontal surface having a coefficient of friction \(\mu \) . The total time \(T\) taken by disc to stop rotating completely can be expressed as

\(T\quad =\cfrac { a }{ b } \times \cfrac { \omega R }{ \mu g } \).

Find The value of \(a\times b\).


\(\bullet \) 'a' and 'b' are Co-prime positive integers.

This was asked by my friend Lakshya Kumar

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