A car rounds a banked curve as shown in the figure below. The radius of curvatur

Question

A car rounds a banked curve as shown in the figure below. The radius of curvature of the road isR, the banking angle is?, and the coefficient of static friction is?s.

(a) Determine the range of speeds the car can have without slipping up or down the road. (Use any variable or symbol stated above along with the following as necessary:g.)

(b) Find the minimum value for?ssuch that the minimum speed is zero. (Use any variable or symbol stated above along with the following as necessary:g.)
?s=

Explanation / Answer

a)Fc = m v2 / r

Fc = m g

m v2 / r = m g

v2 / r = g
b)v2 = [sins- coss] / [(cos+sins)](rg) = 0

sin- scos = 0

sin= scos

s= sin / cos

s= tan

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