$A$ lift is tied with thick iron ropes having mass $M$. The maximum acceleration of the lift is $a \ m/s^2$ and the maximum safe stress is $S \ N/m^2$. The minimum diameter of the rope is

  • A
    $[\frac{6 M(g+a)}{\pi S}]^{\frac{1}{2}}$
  • B
    $[\frac{4 M(g+a)}{\pi S}]^{\frac{1}{2}}$
  • C
    $[\frac{M(g+a)}{\pi S}]^{\frac{1}{2}}$
  • D
    $[\frac{M(g-a)}{\pi S}]^{\frac{1}{2}}$

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