Question 226: Laws of Motion

Question

A car is negotiating a curved road of radius R. The road is banked at an angle $$	heta $$. The coefficient of friction between the tyres of the car and the road is $$\mu $$s. The maximum safe velocity on this road is

Accepted Answer

On a banked road,
$${{V_{\max }^2} \over {Rg}} = \left( {{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} ight)$$
Maximum safe velocity of a car on the banked
road
$${V_{\max }} = \sqrt {Rg\left[ {{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} ight]} $$

Answer

$$\sqrt {{g \over R}{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} $$

Answer

$$\sqrt {{g \over {{R^2}}}{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} $$

Answer

$$\sqrt {g{R^2}{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} $$

Answer

$$\sqrt {gR{{{\mu _s} + 	an 	heta } \over {1 - {\mu _s}	an 	heta }}} $$

Laws of Motion

A car is negotiating a curved road of radius R. The road is banked at an angle $\theta . The coefficient of friction between the tyres of the car and the road is \mu $s. The maximum safe velocity on this road is

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