Maximum velocity for banked road Share with your friends Share 0 Anshu Agrawal answered this Dear student, When a Car goes round on a curve on the road with excessive speed, then there is a tendency for vehicle to overturn outward.Let R be the normal reaction of ground .It is resolved in two components vertically and horizontally.For vertical Equilibrium Rcosθ=mg The horizontal component is required Centripital forceRsinθ=mv2rtanθ=v2rgFor overtuning: Let 2a be the distance between wheels of car, weight W is acting downward.and Normal Reaction are R1 and R2 on inner ad outer wheels respectivelyLet be the force of friction R1+R2=mg (1)f=mv2rfh+R1a=R2a where h is the height of Centre of gravity above ground.(R2-R1)a=fh adding in (1)R2=12Mg+v2hraR1=12Mg-v2hraso when g=v2h/ra thenReaction is zero ⇒v=grahThis is maximum speed without overtuning. Regards 0 View Full Answer
