Puck collision with rod using angular momentum conservation

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SUMMARY

The discussion focuses on the conservation of angular momentum in a system involving a puck and putty. Participants clarify that the putty, when dropped vertically above the puck, does not contribute to angular momentum in the plane of rotation due to its negligible velocity component. The final kinetic energy of the system is less than the initial, confirmed by the equation KE_f = KE_im_i / 2m_f. The conversation emphasizes the importance of specifying the system and axis of rotation when discussing angular momentum conservation.

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  • Understanding of angular momentum conservation principles
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  • Basic grasp of Newton's laws, particularly the third law
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  • #31
Thank you for your replies @haruspex and @kuruman !

So since gravity is acting in the ##\hat k## direction means that the torque due to gravity on the putty is along the plane of rotation.

This means when the putty collides with the puck then the angular momentum of the puck in the ##\hat k## direction cannot be changed since the putty angular momentum dose not have component in the ##\hat k## direction since when it is falling is has angular momentum along the plane (in either the ##\hat x## or ##\hat y## direction or both) given by the right hand rule.

I see now that the solution should have specified that angular momentum is conserved in the ##\hat k## direction about the AoR. Now I see that they should have applied conservation of angular momentum in the ##\hat k## direction which is why the putty's angular velocity is zero.

Many thanks!
 
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  • #32
Callumnc1 said:
the solution should have specified that angular momentum is conserved in the ##\hat k## direction about the AoR.
Why? "about the axis of rotation (of the puck)" implies the ##\hat k## direction.
 
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  • #33
haruspex said:
Why? "about the axis of rotation (of the puck)" implies the ##\hat k## direction.
Thank you for your reply @haruspex ! True it dose imply ##\hat k## direction.
 

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