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# Solve the following :

Question:

If the road of the previous problem is horizontal (no banking), what should be the minimum friction coefficient so that a scooter going at $18 \mathrm{~km} / \mathrm{hr}$. does not skid?

Solution:

Centrifugal force=Frictional force

$\frac{m v^{2}}{R}=\mu \mathrm{N}$

$\frac{m v^{2}}{R}=\mu \mathrm{mg}$

$\mu=\frac{v^{2}}{R g}=\frac{\left(18 \times \frac{5}{48}\right)^{2}}{10 \times 10}$.

$\mu=0.25$