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## Homework Statement

A roadway is designed for traffic moving at a speed of 28 m s . A curved section of the

roadway is a circular arc of 190 m radius. The roadway is banked so that a vehicle can go

around the curve with the lateral friction forces equal to zero

## Homework Equations

[itex]F_C = \frac{mv^2}{r}[/itex]

## The Attempt at a Solution

[itex]

N\sin\beta = \frac{mv^2}{r}

[/itex]

[itex]

mg\cos\beta\sin\beta = \frac{mv^2}{r}

[/itex]

[itex]

2\sin\beta\cos\beta = \frac{2v^2}{rg}

[/itex]

[itex]

\sin(2\beta) = \frac{2(28)(28)}{(190)(9.8)}

[/itex]

I got the right answer if I didnt assume [itex]N = mg\cos\beta[/itex]

Edit : Nevermind, careless mistake I was using different coordinate systems.

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