What is the speed of a vehicle moving on a flat and smooth (frictionless) circular path of radius $r$?

  • A
    $\sqrt{rg}$
  • B
    $\sqrt{\mu rg}$
  • C
    $0$
  • D
    Infinite

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$A$ train has to negotiate a curve of radius $r \ m$. The distance between the rails is $\ell \ m$ and the outer rail is raised above the inner rail by a distance of $h \ m$. If the angle of banking is small,the safety speed limit on this banked track is:

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What is optimum speed? Write its equation.

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