A uniform rod of mass m and length `l` pivoted at one of its top end is hanging freely in vertical plane. Another identical rod moving horizontally with velocity v along a line passing through its lower end hits it and sticks to it. The two rods were perpendicular during the hit and later also they remain perpendicularly connected to each other. Find the maximum angle turned by the two-rod system after collision.

Answer

`cos^(-1){(3)/(1sqrt(10))(1-(v^(2))/(5gl))}+cos^(-1)((3)/(sqrt(10)))`