derive the banking road derivation
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Explanation:
consider a vehicle of mass m moving with speed v along a curved horizontal road of radius r. the necessary centripetal force for taking turn is provided by the friction between the tyres of car and road surface
centripetal force =force of friction
mv^2/r=uN [where u is the coefficient of static friction
normal reaction N=mg of vehicle ]
or mv^2/r=umg
v^2/r=ug
v^2=urg
v=vmax =under root urg
this is required expression for maximum safety speed
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