A wooden stick of length `L`, radius `R` and density `rho` has a small metal piece of mass `m` ( of negligible volume) atached 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)`.

Explanation

To solve the problem of finding the minimum mass \( m \) that will allow the wooden stick to float vertically in equilibrium in a liquid of density \( \sigma \), we can follow these steps:

### Step 1: Calculate the Volume of the Wooden Stick
The volume \( V \) of the wooden stick can be calculated using the formula for the volume of a cylinder:
\[ V = \pi R^2 L \]
where \( R \) is the radius and \( L \) is the length of the stick.
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