What is the variable A in the derivation for centre of percussion?

AI Thread Summary
The discussion focuses on clarifying the variable A in the derivation for the center of percussion, identified as the distance from the pivot to the center of mass. Participants express confusion over the connection between this variable and the center of oscillation of a physical pendulum. While the article mentions this relationship, there is uncertainty about whether it provides a general proof or if it is merely an easily observed corollary. Some users indicate they can demonstrate the concept with specific examples but seek a broader proof. The conversation highlights the need for a clearer understanding of the theoretical foundations behind these concepts.
MathewsMD
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My original question was answered, but I would just like some clarification regarding one concept. In the derivation for the centre of percussion in this link (http://en.wikipedia.org/wiki/Center_of_percussion), what exactly is the variable A? How can it be determined (theoretically and/or experimentally)?
 
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A.T. said:
As the article says, distance from pivot to center of mass.

Ahh thank you. For some reason I just could not see it.

At the bottom of that section, it states: "This is also the center of oscillation of a physical pendulum of the same mass M, hung at the pivot point. (The center of oscillation is the position of the mass of a simple pendulum that has the same period as the physical pendulum.)[2]"

Does the article prove this at all? Maybe I'm missing something here, but is that statement an easily seen corollary? I can show it is true for single examples, but is there a proof for the general case?
 
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I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...

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