Write condition that vehicle can be parked on circular road with slope

1.	Write condition that vehicle can be parked on circular road with slope.
Answer» Solution :The velocityof thevehicleon acircularbalancedroadis GIVENBY `v_(max) = [rg ((mu_(s)+ tan theta)/(1-mu_(s) tan theta))]^(1/2)` Herewe HAVETO TAKE `mu_(s)= 0` asthe surfaceis smooth `v_(max)= [rg ((tan theta)/( 1))]^(1/2)` At thisspeedfrictionforceis notneededat alllittlewearand tearon THETYRES`v_(o)` is calledtehoptimumspeed for`v ltv_(o)` frictionalforcewill beupwardand avehiclecan be parked on a slopeonly if tan `theta le mu_(s)`

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