A uniform wire of length \( l \) of weight \( w \) is suspended from the roof with a weight of \( W \) at the other end. The stress in the wire at \( \frac{1}{3} \) distance from the top is \( \left( \frac{W}{A} + \frac{2w}{\gamma A} \right) \) where, \( A \) is the cross sectional area of the wire. The value of \( \gamma \) is _________.
