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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)`.

Text Solution

Verified by Experts

The correct Answer is:
`piR^(2)L(sqrt(rhosigma)-rho)`
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Knowledge Check

  • A solid sphere of radius R and density rho is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3rho . The complete arrangement is placed in a liquid of density 2rho and is allowed to reach equilibrium. The correct statements(s) is (are)

    A
    (a) The net elongation of the spring is `(4piR^3rhog)/(3k)`
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