# Variable Friction on horizontal Rod !!

**Classical Mechanics**Level 5

If the total time taken by the rod to stop completely \(T\), then for different values of position \(x\), the time taken by the rod in various experiments are different.

Suppose the maximum possible time taken for the rod to slow is \({ T }_{ max }\) and the minimum possible time is \({ T }_{ min }\), find the value of :

\(100\quad \times \quad \cfrac { { T }_{ min } }{ { T }_{ max } } \).

**Details**

- \( L\) = 10 m
- \(M\) = 10 kg
- \(\mu \) = 0.5
- \(g\) = 10 m/s^2
- \(\omega \) = 10 rad/s

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