A wooden stick of length L, radius R and...

A wooden stick of length `L`, 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) that would make the stick float vertically in equilibrium in a liquid of density `sigma(gtrho)`.

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The correct Answer is:

`piR^(2)L(sqrt(rhosigma)-rho)`

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