Solving for Angular Velocity at Point A - Confused!

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SUMMARY

The discussion centers on calculating the angular velocity at point A in a physics problem involving angular motion. The user initially calculated the angular velocity correctly but misapplied the cosine function, using cos(45) instead of the required cos(30) for the given angle of theta = 45 degrees. The confusion arises from the relationship between the angle and the corresponding cosine value needed for the calculation. The request for clearer work presentation using LaTeX indicates a need for better communication of mathematical processes.

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Pipsqueakalchemist
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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.
 

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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.
 

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