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 \(a\times b\).
Details:
\(\bullet \) 'a' and 'b' are Co-prime positive integers.
This was asked by my friend Lakshya Kumar
by
Deepanshu Gupta