clockwise moments = Anticlockwise moments,

$$Mg * \frac{1}{2}sin(30^{\circ}) = mg * c{1}{2}sin(60^{\circ})$$ $$\Rightarrow \frac{M}{2} = m\frac{\sqrt{3}}{2}$$ $$\Rightarrow \frac{M}{m} = \sqrt{3}$$

Therefore, the ratio M/m will be = $$\frac{M}{m} = \sqrt{3}$$

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