Do the solutions have an error linear+rotational motion of a rigid body

AI Thread Summary
The discussion centers around a potential error in a solution manual regarding the linear and rotational motion of a rigid body. The original poster expresses confusion about the mechanics involved, particularly the role of points A and B in uniform circular motion about point O. They clarify that omega refers to the rotational speed of shaft OA and assert that B is simply a point on that shaft. The poster is concerned about the accuracy of the solution, which states Vb = 2.37 m/s, and seeks confirmation of their understanding before teaching the material. The lack of the original problem text is noted as a contributing factor to the confusion.
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Maybe I don't understand the problem, but, assuming \omega is in the plane of the paper, and assuming B is the unlabelled vertex, aren't A and B merely in uniform circular motion about O?
 
Omega is rotational speed. In our case the problem defines omega for shaft OA. B is just a point on a shaft. A and B are in uniform circular motion around a certain instantaneous axis of rotation. It's not "O". I'll try to get on a computer later so I can graph it...
 
Looks correct to me.

What does the solution manual say?
 
Vb = 2.37 [m/s]

I just wanted to make sure I didn't forget the material since I'm suppose to teach some students about it. Seeing a wrong answer to mine made me lift an eyebrow, but I'm glad my suspicion was verified it's not my mistake.
 
Femme_physics said:
Omega is rotational speed. In our case the problem defines omega for shaft OA. B is just a point on a shaft. A and B are in uniform circular motion around a certain instantaneous axis of rotation. It's not "O". I'll try to get on a computer later so I can graph it...
It would be helpful if, in the future, you gave the text of the problem.
 
Ah but there was none :P
 
That would explain that.
 
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