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Three identical horizontal rods AB, CD a...

Three identical horizontal rods AB, CD and EF each of length 2m are on a smooth horizontal surface. Rod CD is at rest while the rods AB and EF are purely translating with equal and opposite velocities of magnitude 5 m/s.The ends B and E collide simultaneously with the ends C and D respectively, and the rods rigidly join just after the collisions.Find the angular speed of the system in rad/s just after the collision.

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