Pool Ball Collision: Solving for Angular Momentum and Friction

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Homework Help Overview

The discussion revolves around a pool ball collision with a wall, focusing on the conservation of angular momentum and the effects of friction. The original poster presents a scenario involving a pool ball with known mass, radius, initial speed, and angular speed, seeking to determine the final speed and angular speed after the collision.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between linear and angular momentum during the collision, questioning how friction affects the angular velocity. There are discussions about the conservation of energy and the changes in velocity components before and after the collision.

Discussion Status

Participants have provided insights into the conservation principles involved and have raised questions about the effects of friction on angular momentum. There is an ongoing exploration of the equations needed to relate the variables, with some participants suggesting potential methods for calculating the unknowns.

Contextual Notes

There are indications of confusion regarding the initial conditions and the assumptions about the collision being elastic. Participants are also addressing the need for clarity on the effects of friction and the relationship between linear and angular velocities.

  • #31
You have to use Pythagoras
v_{1}=\sqrt{v_{X1}^{2}+v_{Y1}^{2}}
where
v_{Y1}=v_{Y0}=v_{0}sin\alpha_{0} in both cases and v_{X1}, which I counted.
 
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  • #32
Thanks everyone for your help, and thanks Phizyk for the equations. There is something I didn't understand.
\omega is a vector right?
I don't see how to do this comparision v_{X0}<\omega_{0}R+2v_{Y0}\mu{(\frac{mR^{2}}{I}+1) }

Also, It seems weird to me that in the equation v_{X1}=v_{X0}-2\mu{v_{Y0}}, the angular velocity isn't involved in calculation v_{X1}. Is there something I'm missing?
 

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