Rotational MotionHard
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)
Options
A.3ω1
B.ω1/2
C.ω1
D.none of these
Solution
-Ndt = mω2 
- mω1
Ndt = 
ω2 + ω1
ω2 = ω1/2
- mω1N
dt = ω2 + ω1ω2 = ω1/2
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