A uniform thin rod AB is equipped at both ends with the hooks shown and is supported by a frictionle

Question

A uniform thin 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 to a fixed pin C about which it rotates with a constant angular velocity ω₁. 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 the angular velocity ω₂ of the rod in its subsequent rotation about D. (Assume length and mass of the hook is negligible. Pin C & D are lying on a same horizontal line)

Accepted Answer

-Ndt = m&#969;2 - m&#969;1Ndt = &#969;2 + &#969;1&#969;2 = &#969;1/2

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