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A large parking place has uniform slope of angle $θ$ with the horizontal. A driver wishes to drive his car in a circle of radius R, at constant speed. Coefficient of static friction between the tyres and the ground is $μ$ . What greatest speed can the driver achieve without slipping? Assume entire load of the car on the front wheels ( $g = 10 m / s^{2}$ )

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$\sqrt{g R \cot θ}$

$\sqrt{g R \tan θ}$

$\sqrt{g R (μ \cos θ - \sin θ)}$

$\sqrt{g R (\sin θ + μ \cos θ)}$

answer is D.

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Detailed Solution

$- m g \sin θ + μ m g \cos θ = \frac{m v^{2}}{R}$ at bottom of the track

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