MCQ
A loop of light inextensible string passes over smooth small pulleys $A$ and $B$. Two masses $m$ and $M$ are attached to the points $O$ and $C$ respectively. Then the condition that $m$ and $M$ will cross each other. [Take $AB = 2l$ and $AC = AB = \eta l$] will be
  • $\frac{m}{M} > 2\sqrt {\frac{{\eta  + 1}}{{\eta  + 3}}}  - 1$
  • B
    $\frac{m}{M} > 2\sqrt {\frac{{\eta  + 3}}{{\eta  + 1}}}  - 1$
  • C
    $\frac{m}{M} > \sqrt {\frac{{\eta  + 1}}{{\eta  + 3}}}  + 1$
  • D
    none of these

Answer

Correct option: A.
$\frac{m}{M} > 2\sqrt {\frac{{\eta  + 1}}{{\eta  + 3}}}  - 1$
a

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