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Question
If the road of the previous problem is horizontal (no banking), what should be the minimum friction coefficient so that scooter going at 18 km/hr does not skid?
Solution
If the road is horizontal (no banking),
we have :
\[\frac{\text{mv}^2}{\text{R}} = \text{f}_\text{s} \]
\[\text{N = mg}\]
Here, fs is the force of friction and N is the normal reaction.
If μ is the friction coefficient, we have :
\[\text { Friction force }= \text{f}_\text{s} = \mu \text{N}\]
\[\text{So}, \frac{\text{mv}^2}{R} = \mu \text{ mg}\]
Here,
Velocity = v = 5 m/s
Radius = R = 10 m
\[\therefore \frac{25}{10} = \mu \text{g}\]
\[ \Rightarrow \mu = \left( \frac{25}{100} \right) = 0 . 25\]
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