A car moves along a circular track of radius $R$ banked at an angle of $30^o$ to the horizontal. The coefficient of static friction between the wheels and the track is $\mu$ . The maximum speed with which the car can move without skidding out is
A car moves along a circular track of radius $R$ banked at an angle of $30^o$ to the horizontal. The coefficient of static friction between the wheels and the track is $\mu$ . The maximum speed with which the car can move without skidding out is
- A
${[2gR(1 + \mu )/ \sqrt {3}] }^{\frac{1}{2}}$
- B
${[gR(1 - \mu )/ (\mu+\sqrt {3})] }^{\frac{1}{2}}$
- C
${[gR(1 + \mu \sqrt {3} )/ (\mu+\sqrt {3})] }^{\frac{1}{2}}$
- D
None
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