1.

What is optimum speed ? Write its equation.

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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