A toy car is moving on a circular path of radius \( 10 \mathrm{~m} \) on an inclined plane of in...

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A toy car is moving on a circular path of radius \( 10 \mathrm{~m} \) on an inclined plane of inclination \( 30^{\circ} \). The coefficient of friction between the tyres and the inclined plane is \( \mu=\frac{2}{\sqrt{3}} \). Find maximum constant speed of car such that car does not slip. Assume that the width of a car is negligible with respect to radius of circular path.
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