Cut it out

Two halves of a round homogeneous cylinder are held together by a thread wrapped round the cylinder with two equal weights. The complete cylinder weighs \(31.4\text{ kg} \). The plane of contact of both of its halves is vertical. For equilibrium of both halves of the cylinder, find the minimum value of \(m\) in \(\text{kg} \).

Give your answer to 2 decimal places.

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