Equilibrium of JEE!

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 \(v\) .

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: \(v= 10 \text{ m/s}\).
This is asked in very old IIT JEE exam !

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