Briefly explain how isa vehicle able to go round a leveled curved track determine the maximum speed with which the vehicle can negotiate this curved track safely

Briefly explain how isa vehicle able to go round a leveled curved trac

1.	Briefly explain how isa vehicle able to go round a leveled curved track determine the maximum speed with which the vehicle can negotiate this curved track safely
Answer» Solution :Whena vehicletravelsin curvedpaththeremust be acentripetalforceactingon itthatisprovided by thefrictionalforcebetweenthereforces actingon thevehiclewhenitmovesare asshownin the figure . They are `(i)`Gravitationalforce (mg)actingdownwards (II)NORMALFORCE(mg)actingupwards (III)Frictionalforce `(F_(s))` actinghoriozontallyinwardsalongthe road Supposethe ROADIS horizontalthen thenormalforceandgravitationalforce areexectlyequaland opposite. Thecentripetalforceisprovidedby theforceof staticfriction`F_(s)` betweenthe tyreand surfaceofthe roadthatactstowardsthe centreof the d circular track `(mv^(2))/(r ) = F_(s)` As we havealreadyseenin theprevioussectionthe staticfrictioncan beincreasefrom zeroto amaximum value `F_(s) gtmu_(s) mg` For withoutskinddingif `(mv^(2))/(r ) lemu_(s) mg.` or `mu_(s) ge(v^(2))/( RG ) " or" sqrt(mu_(s) rg ) le v ` (safeturn) Necessarycentripetalforce to bendthe caron theroadprovidedby thestaticfriction