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## Homework Statement

Determine the maximum speed at which a vehicle can negotiate a curve of

20m radius:

The vehicle has a track width of 1.3m and a centre of gravity midway between the wheels and 0.6m above the ground. The coefficient of friction between the tyres and the road is 0.5.

a) without skidding

b) without overturning

## Homework Equations

a) mv^2/r = μmg

b) v^2 = gdr/2h

## The Attempt at a Solution

a) v = sqrt μrg

v = sqrt 0.5 x 20m x 9.81m/s^2

= sqrt 98.1 m^2/s^2

= 9.9 m/s

b) v = sqrt gdr/2h

= sqrt 9.81m/s^2 x 1.3m x 20m/2 x 0.6m

= sqrt 255.06m^3/s^2 / 1.2m

= 212.55m^2/s^2

= 14.58 m/s

Again please can someone confirm that i have done these correctly and if not could you point me to which part i have gone wrong. I am not looking for the answer just direction.

Many thanks