Is my relative motion analysis correct for this engineering problem?

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SUMMARY

The discussion centers on the application of relative motion analysis in an engineering problem involving velocities. The user applied the formula VB = VA + VB/A, substituting values to find ω as 2 rad/s in a counterclockwise direction. This approach is confirmed as correct based on the principles of relative motion and the provided values. The analysis effectively integrates fundamental physics concepts into the engineering context.

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Homework Statement
2sbriuo.jpg



The attempt at a solution

I used the concept of relative motion analysis for velocity:

VB = VA + VB/A
(4) = (-2) + ω(3)
ω = 2 rad/s (CCW)

Is this correct?
 
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I know this is actually an engineering problem but it uses fundamental physics concepts, so it shouldn't be beyond the scope of this forum.

So can anyone confirm my solution?
 

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