Hi,

I'm trying to calculate the maximum velocity a car body can travel around a curve of radius r before it topples over, given the car base length x(*2), the height of the centre of gravity h and the gravitational force g(9.81m/s).

I've spent a while looking for an equation that would let me calculate this value and found this online:

Max Velocity = Sqrt( r * g * (x / h) ) [Book: Basic Principles of Physics (3-5.50)]

but I don't know if this is correct and/or how it works. I've read multiple sources that state the centre of gravity shifts when applying a centrifugal force to an object and when that centre points falls outside the base of the object the object will topple but it doesn't give any formulas for calculating this.

If anyone could clarify or point in the right direction to how to solve this it would be much appreciated.

Thanks.