Affect of Body Roll on Vehicle Cornering

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SUMMARY

The discussion focuses on calculating the maximum velocity a car can maintain while cornering without sliding or rolling over, given a bend radius of 60 meters and a friction coefficient of 0.55. The participant utilized Newton's laws to derive the maximum cornering velocity formula, resulting in a speed of 17.99 m/s (64.77 km/h) for the sliding condition. The challenge of incorporating body roll into the calculations was highlighted, with an emphasis on the need for torque and moment analysis, although specific mass data was not provided.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force calculations
  • Knowledge of torque and moment principles
  • Basic concepts of vehicle dynamics
NEXT STEPS
  • Research "Centripetal force in vehicle dynamics" for deeper insights
  • Study "Torque and moments in rigid body mechanics" to understand tipping forces
  • Explore "Vehicle suspension systems and their effects on cornering" for comprehensive analysis
  • Learn about "Friction coefficients and their impact on vehicle handling" for practical applications
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Automotive engineers, physics students, and vehicle dynamics enthusiasts seeking to understand the effects of body roll on cornering performance.

Engineer91
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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... ?
 
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Never mind, being an idiot. Torque cw = torque ccw, mass cancels out...

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

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