Affect of Body Roll on Vehicle Cornering

[Engineer91]

Homework Statement

Not sure if this is the right place, it's a past paper problem - not really homework. Anyway, the question asks for the maximum velocity a car can take round a bend without sliding or rolling over.

Radius of Bend = 60m (R)
Friction Co-ef = 0.55 (u)
Width of car, (tyre to tyre)=1.8m
C.G. position = 0.75m

Homework Equations

For the sliding part, it's just simple Newtons laws centrifugal (centripetal-always get mixed up) force is (m*v^2)/R.

For traction force, =u*m*g.

I have no idea where you would begin with the body roll - I assume that suspension is not taken into account since no data for that is given, and therefore assume that the force required for tipping a rigid body box 1.8*0.75 is needed.

The Attempt at a Solution

For the sliding, I took the maximum velocity of cornering as when the traction force is equal to the centripetal.

From which,

Velocity v=sqrt(R*u*g), = 17.99m/s, 64.77km/h

For the roll, I'm not sure where to begin, there is no mass given in the question, I take it has something to do with using torques and moments... ?

 

[Engineer91]

Never mind, being an idiot. Torque cw = torque ccw, mass cancels out...

Mods can delete this thread.

 

[super1ct]

Before this topic is deleted how did you go about it cos I'm also stuck on that question?