A motorcyclist of mass m is to negotiate a

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A motorcyclist of mass m is to negotiate a curve of radius r with a speed v. The minimum value of the coefficient of friction so that this negotiation may take place safely, is

A

${v^2}rg$

B

$\frac{{{v^2}}}{{gr}}$

C

$\frac{{gr}}{{{v^2}}}$

D

$\frac{g}{{{v^2}r}}$

A motorcyclist of mass m is to negotiate a curve of radius r with a speed v. The minimum value of the coefficient of friction so that this negotiation may take place safely, is

$f_{r}=\frac{mv^2}{r}$

$f_{r}=\mu_{N}$

$=\mu m g$

$\mu{m g}=\frac{m v^{2}}{r} \quad \mu=\frac{v^{2}}{gv}$