A wooden stick of length 1 , and radius \( R \) and density \( \rho...

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A wooden stick of length 1 , and radius \( R \) and density \( \rho \) has a small metal piece of mass \( m \) (of negligible volume) attached to its one end. Find the minimum value for the mass \( m \) (in terms of given parameters)
\( \mathrm{P} \) that would make the stick float vertically in equilibrium in a liquid of density \( \sigma(\rho) \).

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