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 = hℓ] will be

Engineering

Physics

Satellite

Question

None of these

$\frac{m}{M} > \sqrt{\frac{η + 1}{η + 3}} + 1$

$\frac{m}{M} > 2 \sqrt{\frac{η + 3}{η + 1}} - 1$

$\frac{m}{M} > 2 \sqrt{\frac{η + 1}{η + 3}} - 1$

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