A car moves with speed v on a horizontal...

A car moves with speed `v` on a horizontal circular track of radius `R`. A head-on view of the car is shown in figure. The height of the car's centre of mass above the ground `h`, and the separation between its inner and outer wheel, is `d`. The road is dry, and the car does not skid. Show that the maximum speed the car can have without overturning is given by `v_(max)=sqrt((gRd)/(2h))`. To reduce the risk of rollover, should one increase or decrease `h`? Should one increase or decrease the width `d` of the wheel base?

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