A uniform thin rod AB is equipped at both ends with the hooks as shown in the figure 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 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 the angular velocity w2 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)
Angular momentum of the rod = moment of inertia about axis of rotation X angular velocity
The Attempt at a Solution
While I understand that I need to apply Conservation of angular momentum to solve this. But the problem here is that I have to compute the angular momentum about an axis other than the axis of rotation just before the other end hits pin D. I am unable to compute this. Any help will be highly appreciated.