I have been giving this a lot of thought. The reason for a specific pivot to yield the most number of bounces must have something to do with the angular velocity at impact.
I tried looking for that before, but I think I made a mistake. The first mistake was equating kinetic to potential...
Let's take the hand out of the equation. The Lego model I built does the same thing and there is no hand to dampen or dissipate.
Earlier you wrote that the angular acceleration was:
$$\alpha = \frac{\tau}{I} = \frac{F}{m} \frac{6}{L}$$
I've been picking my brain trying to understand how that...
If the centre of mass is at ##\frac{L}{2}## and I add ##\frac{L}{6}## I get ##\frac{2}{3}L##. That's what the normal centre of percussion calculation would produce for a uniform beam with a pivot at one end. Interesting.
The problem I have with these analyses, is that they don't make any...
My question has been asked before on this forum without an answer.
This answer was not vetted or accepted. It talks about the centre of percussion.
I don't have a baseball bat, but I have a pool noodle. And guess what. It behaves like drumstick. There is a sweet spot where there are more...
I have no idea what kind of material you're suggesting.
But then I thought, what if we go the other way? There are drumsticks made of a few materials: maple, hickory, oak, aluminum, and carbon fibre. The drumsticks should be soft compared to the cymbals they hit. The aluminum drumsticks have...
Much longer will change the deflection if the section doesn't change. A wimpy section would be a thin rod. It needs to be stiff enough to not deform appreciably upon contact so not too thin of a rod. Elastic as possible means high Young's modulus. So steel?
The problem I'm seeing is that...
I played with the height of my model. The total height difference at the pivot from lowest to highest was 28.8mm. Here are my observations:
1. more height gives higher bounces (there is more potential energy to start)
2. with more height the sweet spot may move from hole 4 to between holes 3...
This is a good thought, but I don't know how I can prove or disprove it. Any suggestions to test or model it?
I built a model from Lego and the effect is there too. The Lego piece I used is a long beam with holes in it so I can position the pivot in different places. It is 96mm long. It has...
I don't know what I'm doing here, but I went back to that paper which seems to be the closest thing to what I want to know. The thing that determines the bounce is the kinetic energy. From the paper:
It occurs to me that the highest bounce must also be the highest kinetic energy. The...
I've played on many different surfaces and I can tell you that the place where you get the most bounces of the tip of the drumstick is always at the same place on the stick. If it's changing at all, it's minute. It changes with different sticks (specifically different shapes that probably move...
What I mean by maximum bounces is maximum number of bounces. For the same force (ie. just letting the tip of the stick drop from the same height), the stick will bounce more times when the pivot is in some places than others. This is because something, inertia perhaps, is resisting the...
I just wanted to clear up some confusion here.
This maximum bounce fulcrum position is purely a function of the stick. It will be in a different location on different sticks. It's not something the drummer adjusts to change the effect.
This is not playing a drum. It is simply determining...
When a drummer holds a drumstick, the fingers form what's called a fulcrum. The stick pivots about this fulcrum. This question is not about striking from the hand with the drumstick. Instead, the drumstick is held horizontal and then allowed to fall due to gravity.
A drumstick has two ends...