Angular momentum, colition, conservation

AI Thread Summary
The discussion focuses on a pole-vaulting exercise involving conservation of angular momentum. A pole, initially moving horizontally, stops when it contacts a wall and begins to rotate about its base. The initial linear momentum is defined, and the problem explores how this momentum is transformed into angular momentum during the vault. Participants discuss the components of momentum, particularly the perpendicular component that contributes to angular motion. The conversation emphasizes the importance of understanding the remaining momentum and the forces acting on the pole during the vault.
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Homework Statement



look photo


Homework Equations






The Attempt at a Solution



LOOK THE PHOTO
 

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Welcome to PF;
Please show us you best attempt at the problem in order that we know where you need the most help.
It would also help if there was a a translatable form of the question someplace.
 
Ok, wait a minute.. i going to try to resolve and i will post a photo
 
Yeah - I kinda get that it is a pole-vaulting exercize. "Salto Fosbury" translates into English as "Fosbury Flop".
In the model - a pole is set at an angle to the horizontal and travels left-to-right at some constant initial speed u.
When the bottom of the pole is in contact with the bottom of the wall, the horizontal motion stops and the pole rotates about the bottom end.

You've seen that this is a conservation of angular momentum problem - and you seem to have a handle on it.

The pole has length ##l##, mass ##m##, and initial velocity ##\vec v_i=u\hat\imath## (i.e. speed ##u## in the ##+x## direction.)

It has initial linear momentum was ##\vec p_i=mu\hat\imath## ... you follow so far?

Your question appears to be "what happens to this?"
Particularly, what happens to the part that does not turn into angular momentum?

Consider:
The part that turns into angular momentum is the component of the initial momentum that is perpendicular to the pole. ##p_\perp = mu\sin\theta##
... that's the magnitude - but momentum is a vector.

So what is the momentum that is left over?
Which direction does it point in? (A sketch will be enough to see.)
Consider also: Is the pole acted on by a force during the vault?
 
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