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Laws Of Motion

Question
CBSEENPH11020550
Wired Faculty App

A car of mass m is moving on a level circular track of radius R. If straight mu subscript straight s represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by

  • square root of straight mu subscript straight s mRg end root
  • square root of Rg divided by straight mu subscript straight s end root
  • square root of mRg divided by straight mu subscript straight s end root
  • square root of straight mu subscript straight s Rg end root

Solution

D.

square root of straight mu subscript straight s Rg end root

In this condition, centripetal force is equal to static frictional force between road and tyres, 
so
straight mu subscript straight s space mg space equals mv squared over straight R straight v subscript max space equals space square root of straight mu subscript straight s Rg end root

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