A modern grand – prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static friction between the tyres and the track is μs, then the magnitude of negative lift FL acting downwards on the car is: (Assume$$ forces on the four tyres are identical and $$g=acceleration$$ due to $$gravity)

Question

A modern grand – prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed  v. If the coefficient of static friction between the tyres and the track is  μs, then the magnitude of negative lift  FL acting downwards on the car is: (Assume$$ forces on the four tyres are identical and $$g=acceleration$$ due to $$gravity)

Infinity Learn · Accepted Answer

Friction provides centripetal force.$$mv2R=$$μsN  If we consider FL is negative lift then $$N=mg+FL$$⇒μ$$smg+FL=mv2R$$ ⇒$$FL=mv2$$μsR−mg

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material