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## Homework Statement

A car rounds a slippery curve. The radius of

curvature of the road is R, the banking angle

with respect to the horizontal is θ and the

coefficient of friction is μ.

What is the minimum speed required in order

for the car not to slip?

## Homework Equations

Fc = (mv^2) / r

W = mg

Ffr = μ N

## The Attempt at a Solution

So I made the xy-plane standard, weight in the negative y-direction.

x-direction:

Nx + Ffr(x) = Fc

N = (mg) / cos (th)

Ffr(x) = (μmg) cos (th) / cos (th)

= μ mg

Nx = [ (mg) sin (th) ] / cos (th)

Nx + Ffr(x) = Fc

μmg + (mg sin (th))/cos (th) = (mv^2) / r

**v(min) = sqrt [ gr (μ + tan (th))]**

That was my answer, but it's not an answer choice. I don't know where my thought proccess was wrong. Can someone help?