http://targetiit.com/iit-jee-forum/posts/rotation-4-1319.html
this will help :)
A diwali cracker known as sudarshan chakra works on the principle of thrust. Consider such a toy the centre of which is hinged. The initial mass of the toy is M0 and radius is R. The toy is in the shape of a spiral the turns of which are very close (it can be assumend as a disc). The gases are ejected tangentially from the end of the toy with a constant velocity u relative to the toy. Find the angular velocity of the toy when mass remains half.
do we need to do all that ??
isnt it simply conservation of angualr momentum?
http://targetiit.com/iit-jee-forum/posts/rotation-4-1319.html
this will help :)