Q.

A car moves along a horizontal circular road of radius r with velocity V . The coefficient of friction between the wheels and the road is μ . Which of the following statement is not true ? 
 

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a

The car will slip if μ<v2rg
 

b

The car will slip if μ>v2rg
 

c

The car will slip if v>μrg
 

d

The car will slip at lower speed, if it moves with some tangential acceleration, than if it moves at constant speed. 
 

answer is C.

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Detailed Solution

The required centripetal force (mv2/r) is supplied by the force of friction, which has a maximum value of μmg. Hence, the car will slip when mv2/r>μmg.

v>μrg

μ<v2/rg

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