How Do You Calculate Angular Velocity and Moment of Inertia?

[edeffect]

Hey

Just trying to work out this question (see image). Solving for I (see other image) in an effort to find the angular velocity. Could someone have a look at this working and tell what I am doing right and wrong?

Thanks Heaps

Ed

 

[dynamicsolo]

There is not only going to be rotational kinetic energy, but translational KE as well. After all, the center of masses of both bars are falling and are also moving toward each other, as the system collapses toward the central axis of symmetry.