Question

I need help with this angular motion problem.

Answer 1

First collect all the data from the given problem :)

Answer 2

The formula for angular velocity (\(\omega\)) is \(\omega\)=\(\Large \frac{v}{r}~\large\rm v: Linear~Velocity~r:Radius\)

Answer 3

Hint:
here we have to apply the conservation of angular momentum, namely:
\[\Large {I_1}{\omega _1} = {I_2}{\omega _2}\]
where I_, and I_2 are the moment of inertia of our system before and after the drop of the clay, respectively, similarly for \omega_1 and \omega_2