A classical mechanics problem by Shivam Yaduvanshi

A uniform thin rod AB is equipped at both ends with the hooks and is supported by a frictionless horizontal table . initially the rod is hooked at a to fixed pin C about which it rotates with a constant angular velocity w1. suddenly end B of the rod hits pin D and gets hooked to pin D causing end A to be released determine the magnitude of angular velocity w2 of the rod in its subsequent rotation about D.

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