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

HoloBarre
Messages
7
Reaction score
0
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.
 
on Phys.org
Consider it to be a rod with MOI I=1/12 ML2, conservation of energy would work well here.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 3 ·
Replies
3
Views
15K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 11 ·
Replies
11
Views
6K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K