Rotating bar, each end different velocities

[Sarial]

Homework Statement

Simple question, but no matter how much I think about it I can't see what I'm doing wrong.
[URL]http://spock.physast.uga.edu/res/uga/PhysicsLib/Matter_and_Interactions/Ch10/figs/mom_and_angmom_stick.png[/URL]

Homework Equations

N/A

The Attempt at a Solution

Basically you have a bar where one side is moving at v1 and the other is moving v2, both in the same direction. So the whole system is moving, and then the bar is also rotating. I thought it would be moving at v1 as a system, and then rotating with a tangential velocity of v2-v1 since v2 > v1. What am I missing?

 

[Doc Al]

Find the speed of each end with respect to the center of mass.