# 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: $$v= 10 \text{ m/s}$$.
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