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Q.

Consider a circular turn on a highway, where angle of banking is more than angle of repose. A car on this turn can move with a constant speed ν0  without help of friction.  Taking advantage of friction it can achieve a maximum speed νmax but cannot reduce its speed lower than a minimum speed νmin. Which of the following conclusions can you draw from the given information (g=10m/s2 ) 

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a

ν0=0.5(νmax+νmin)

b

ν0<0.5(νmax+νmin)

c

ν0>0.5(νmax+νmin)

d

None of these

answer is A.

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Detailed Solution

V0=gRtanθVmax=gRtan(θ+α)Vmin=gR(tan(θ+α))                  where  tanα=μVmax+Vmin2>V0

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