What is the final angular velocity of a falling physical pendulum?

AI Thread Summary
The discussion centers on calculating the final angular velocity of a meter stick acting as a physical pendulum when it falls and strikes a table. The user seeks information on the angular velocity, noting that while they have found details on the moment of inertia and period, velocity data is lacking. They mention the potential involvement of elliptic integrals and express interest in applying this knowledge to estimate the force needed to transition from a pushup position to standing. The user appreciates any links or hints that could assist in solving this problem. The conversation emphasizes the use of conservation of energy principles and the moment of inertia formula for a rod.
HoloBarre
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All --

With a meter stick standing straight up and pivoted at the *bottom*, what is
the final angular velocity as it hits the table?


I've found plenty of standard stuff on physical pendulums (meter stick
pendulum), where I = 1/12 MR^2, period, etc, but I can't find velocity info.


My dim recollection, and perhaps why I can't find the solution so quick, is
that an elliptic integral is involved??

The application is an interesting one:
I would like to approximate the force one would have to generate from a
pushup position sufficient to thrust one's self up to a standing position.

If I had the required Vo, I could probably figure stuff out from there.

I found some neat stuff, like the animations found in
http://www.myphysicslab.com/pendulum1.html ,
But, no velocity graph, and no physical pendulum. Otherwise well-done.


Any links, hints -- or solutions -- appreciated.

Thanks.
 
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Consider it to be a rod with MOI I=1/12 ML2, conservation of energy would work well here.
 
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