#### 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, f_{s} 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

\[\therefore \frac{25}{10} = \mu \text{g}\]

\[ \Rightarrow \mu = \left( \frac{25}{100} \right) = 0 . 25\]

Is there an error in this question or solution?

Solution 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? Concept: Examples of Circular Motion (Vehicle on a Level Circular Road, Vehicle on a Banked Road).