# Angular Velocity of the Cord

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In this question , I think we have to conserve angular momentum . But for that how can we find final radii.

retagged Nov 29, 2016
Conserve about point of contact of string.
Please elaborate more on your thought process and if applicable the math you did to solve. As it currently stands, this question doesn't show very much effort and might be closed.

When the string has moved through an angle of $\theta$, the contact point has also moved through an angle of $\theta$ around the circle of radius $a$. So the string has shortened from $r_0$ by a distance of $a\theta$.
Therefore at any instant $(r_0-a\theta)\omega=r_0\omega_0$.