What Is the Angular Velocity of a Hinged Stick After Collision?

AI Thread Summary
To determine the angular velocity of a hinged stick after a collision with a piece of clay, momentum conservation is initially applied to find the velocity of the center of mass. The user questions whether this velocity represents the center of mass and seeks clarification on how to calculate angular velocity from this point. It is suggested that angular momentum conservation is a more appropriate approach, focusing on the hinge as the pivot point. The discussion emphasizes the importance of identifying the correct radius in relation to the hinge for accurate calculations. Understanding these principles is crucial for solving the problem effectively.
zhenyazh
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hi,
i am trying to solve this question.

A thin stick of mass M = 4.9 kg and length L = 2.6 m is hinged at the top. A piece of clay, mass m = 1.0 kg and velocity V = 4.9 m/s hits the stick a distance x = 2.20 m from the hinge and sticks to it. What is the angular velocity of the stick immediately after the collision?

in order to find the v i used momentum conservation.
now my question are:
is the v i found the v of center of mass?
how do i find the w from here, that is what is my r and why?

thanks
 
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Guess you can answer this if you answered the one I asked?
 
zhenyazh said:
in order to find the v i used momentum conservation.
now my question are:
is the v i found the v of center of mass?
Hmm, I'm not sure to be honest. I would use angular momentum conservation instead.
 
Yes, but only about the point where the force acts,the hinge that is.
 

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