A uniform thin rod AB of mass M and length l attached to a string OA of length `=1/(2)` is supported by a smooth horizontal plane and rotates with angular velocity `omega` around a vertical axis through O. A peg P is inserted in the plane in order that on striking it the rod will come to rest.
A. magnitude of angular momentum of rod about O is `(4)/(3) l^(2)omega`
B. Magnitude of tension in string is `M//omega^(2)`
C. Location of peg for rod coming to rest is x`=(13)/(12)l`
D. magnitude of angular impulse by peg on the rod is `(4)/(3) l^(2)omega`
