Solving for Angular Velocity at Point A - Confused!

[Pipsqueakalchemist]

Homework Statement

Questions and attempt below

Relevant Equations

Work energy theorem

So for this question I got the right angular velocity. But I don’t get the same velocity for point A. I don’t understand why it’s cos30, problem asked for V_a when theta = 45 so I used cos45. I have my work below.

 

[berkeman]

Your images of your work are pretty much illegible. Can you please type your work into the forum using LaTeX? See the LaTeX Guide link at the lower left. Thank you.