A cyclist speeding at `6 m//s` in a circle of 36 m diameter makes an angle 0 with the verticl . What is the value of 0 ? Also , deter - mine the minimum possible value of the coefficient of friction between the tyres and the road .

Explanation

Here , ` upsilon = 6 m//s , r = (36)/(2) = 8 m`
` theta = ? mu = ? `
As ` tan theta = upsilon^(2)/(rg) = (6 xx 6 )/(18 xx 9.8 )=(2)/(9.8) = 0.2040 `
` theta = tan^(-1) (0.2040) = 11^(@) 32 `
Also ` mu = tan theta = 0.2040` .