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Rotational Motion question

2012 · Q103
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Rotational Motion question

2012 · Q103

NEETPhysicsRotational MotionMCQ+4 / −1
A car of mass m is moving on a level circular track of radius R. If μ\muμs represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
  1. A
    μsmRg\sqrt {{\mu _s}mRg}μs​mRg​
  2. B
    Rgμs\sqrt {{{Rg} \over {{\mu _s}}}}μs​Rg​​
  3. C
    mRgμs\sqrt {{{mRg} \over {{\mu _s}}}}μs​mRg​​
  4. D
    μsRg\sqrt {{\mu _s}Rg}μs​Rg​
View written solutionFree

Correct answer: D

For smooth driving maximum speed of car v then

mv2R=μsmg{{m{v^2}} \over R} = {\mu _s}mgRmv2​=μs​mg

v=μsRgv = \sqrt {{\mu _s}Rg} v=μs​Rg​

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