A lift of mass \( 'm' \) is connected to a rope which is moving upward with the maximum acceleration \( 'a' \). For maximum safe stress, the elastic limit of the rope is \( 'T' \). The minimum diameter of the rope is \( g \) (gravitational acceleration):

1
\( \left [\dfrac {2m(g + a)}{\pi T} \right ]^{\dfrac {1}{2}} \)
2
\( 2\left [\dfrac {m(g + a)}{\pi T} \right ]^{\dfrac {1}{2}} \)
3
\( \left [\dfrac {m(g + a)}{\pi T} \right ]^{\dfrac {1}{2}} \)
4
\( \left [\dfrac {m(g + a)}{2\pi T} \right ]^{\dfrac {1}{2}} \)
5
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