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Question

The maximum speed with which a vehicle can negotiate a curved road, which is banked at the angle, θ=tan1(0.24) is 54 km/hr. If another road is flat and the vehicle has to negotiate a curve with the same maximum speed, coefficient of friction between road and tyre should be
(Radius of both the road is same)

A
0.35
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B
0.5
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C
0.8
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D
0.24
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Solution

The correct option is D 0.24
Given:
v=54 km/hr=54×518 m/s=15 m/s

For frictionless banked road, maximum safe speed is given by

v=Rgtanθ

v2=Rgtanθ

152=Rg×0.24 ........(1)

And for the flat road with friction,

v=μRg

v2=μRg

152=μRg .....(2)

Equating equations (1) & (2), we get

μ=0.24

Therefore, option (C) is the correct answer.

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