Obtain the formula for the maximum safe speed (v_(max)) of a vehicle on a level curved road

Obtain the formula for the maximum safe speed (v_(max)) of a vehicle o

1.	Obtain the formula for the maximum safe speed (v_(max)) of a vehicle on a level curved road
Answer» SOLUTION :(a)vehicleis shownmovingon ahorizontalcurvedroad. Themassof vehiclebe m andthe radiusbe R FIGURE (b )showsthe vehiclemovingon a circulartrack thefrictionbetweenthe tyre and theroadsurfaceprovides theneccesarycentripetalforce In ordertomovesafely on thisroad `(mv^(2))/( R )`forceisrequiredand itshouldbe EQUALTO maximumfrictionalforce `(f_(g)) _(max)= mu_(s) N` where `mu_(s)` is thecoefficientof staticfrictionbetweenthe tyresof VEHICLE andthe road. the aboveformulashowsthat themaximumpermissiblelimitof thespeeddoes not dependuponthe massof vehicle or thepassengerto driver safelyon levelcircularroad.the abovegivenspeed calledmaximumpermissiblespeedshouldbe followed