Two hooks and a rod

A uniform tin rod AB is equipped at both ends with the hooks shown and is supported by a frictionless horizontal table. Initially the rod is hooked at A about which it rotates with a constant angular velocity w1(omega 1). Suddenly end B of the rod hits pin D and gets hooked to D causing end A to be released. Determine the magnitude of the angular velocity w2(omega 2) of the rod in its subsequent rotation about D. ANSWER IS N times w1(omega 1) FIND N

1 1/2 0 2 -1

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