A straight metal rod of length \(3L\) is bent through the right angle as shown. The bent rod is then placed on a **rough horizontal table**. A light string is attached to the vertex of the right angle. The string is then pulled horizontally so that rod slides at a constant velocity \(v\) .
###### This is asked in very old IIT JEE exam !

Find the angle \(\alpha \) (in **degrees**) that the side \(2L\) would make with the string.

**Details and Assumptions**

- Mass density of rod: \(\rho_r= 10\text{ kg/m}\),
- Length: \(L = 10\text{ m}\),
- Velocity: \(v= 10 \text{ m/s}\).

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