Liquid Gardens, on 02 October 2012 - 02:35 AM, said:
Yes, that's exactly it; for some amount of time, the squatter was still in motion even though the upper weighted bar's weight was removed, something must decelerate him to stop that motion, otherwise he would stay in motion; maybe a spring isn't the best example, maybe a hydraulic support that just resists. I guess at this point, purely from an intuition standpoint and from way out of my depth here, I'm not understanding why the lid would not have momentum just because it's crumpling or deforming; I don't know why 'deforming' should be separated from 'falling' as far as momentum is concerned. It seems a little odd to me to say that since the can is an 'object' it behaves differently; we should be able to break up this can into millimeter square pieces of mass and see what each is doing and if it's in motion, I don't know why the same physics wouldn't apply at that level. These blocks of can are yes feeling a lot of force from being attached to the can but 'objects' moving experience air resistance, it's all just forces isn't it? The lid has mass, and it's moving, doesn't that necessarily mean momentum period?
I think I may be wrong with my ultimate point though that I'm trying to get to, I'm realizing that I'm not clear on momentum at this point. I'm having trouble understanding where Q is coming from with the 'holding up the same weight they always have' when things are moving downward, when it seems there must be an 'additional force' from the momentum that is above just the standard gravitational force at rest (?) but I don't think that's the correct way to put it and may not be correct at all even if I could explain it. More study is needed on my part.
This part isn't easy to wrap your head around, I know. One thing that might help is to consider the properties of the materials in question. Metals are classified by many different properties; brittleness, malleability, hardness, ductility, elasticity, density, toughness, fusibility, conductivity, etc... If we just look at a couple of these properties in comparison with other materials it might help to make sense of the concepts. Consider brittleness and plasticity for a moment when applied to a section of very dry straw as opposed to a length of copper wire.
In both examples imagine that you are holding a 20 inch section of the material with your left hand in a perfectly vertical direction. Then apply downward pressure with your right hand from the top.
When you exert enough vertical compression on the straw, it fractures quite easily and if you stop exerting pressure after this occurs, the portion above the point of fracture falls. When you exert pressure on the copper wire, it simply deforms (or bends) and if you stop exerting pressure it doesn't fall because there has been no fracture. This is a measurement of the material's brittleness.
Now take two more samples from our hypothetical workshop and push down on the straw but not enough to cause it to fracture. Raise your hand and notice that it returns to its original shape. Do the same with the piece of copper wire and notice that it retains its deformed shape. This is a measurement of the material's plasticity.
These different materials have different properties because of their chemical composition and the bonds which hold them together are inherently different as a result. The same is true of different metals. So in the case of our aluminum can(s), it (or they) will respond differently from the length of straw, the copper wire, and structural steel alloys. It is a lot to take in, I agree.
With the case of steel, it is actually a fairly brittle material as far as metals go, especially at lower temperatures. But it is also very strong and capable of supporting significant static loads as we find in building construction. This is one of the reasons that blacksmiths use forges to heat steel, not only to soften it but also to prevent fracture while it is being deformed into the desired shape of a blade or whatever else. This strength is also one of the reasons that it is such a popular material for tall structures like the Twin Towers.
Edit to add:
I didn't really address momentum with the above descriptions, which appears to be one of the key questions needing clarification. Momentum is a measurement of an object of defined mass
in motion. In our examples above, the objects aren't in motion until fracture occurs. Instead they are deforming. Once fracture occurs, the portion above the point of fracture is in motion and it is only when an object has motion that it can have momentum.
Consider a blob of clay. If you squish it in your palm, it doesn't have motion, it is merely deforming. If you form into the shape of a ball, set it on the ground, and then strike it with a golf club, it
almost simultaneously deforms from the impact of the club and then enters into motion due to the club's momentum. At that point the deformed mass of clay has momentum of its own.
There are other ways to describe this, but that was the first thought that came to mind. Does that help make the distinction between deformation and momentum?
Liquid Gardens, on 02 October 2012 - 02:35 AM, said:
I agree, I don't understand how a fully compressed story can behave any other way and can't see how Q can treat a fully compressed story, once subsequent stories beneath it have also compressed, as if it doesn't behave like an extension of the upper block. I have to think more about his impalement scenario to see if it makes any difference though.
It is hard to say, though through the discussions on this thread his actual reasoning is starting to come more into focus for me. Thank you for contributing to that by the way because until you started asking the questions that you've been asking and forcing key clarifications, I've been struggling to fully envision how exactly Q24 reconciles his position. It's starting to be more clear to me now, though admittedly it's a bit fuzzy yet. So long as the dialogue continues and more information comes out, I think we can reach a point of understanding on all sides. Or at least I hope so.
Liquid Gardens, on 02 October 2012 - 02:35 AM, said:
It does, I think your squat rack example is an excellent one and a better way of explaining what I'm talking about and comparing to a crumpling can.
That's good to hear, sometimes I wonder if I'm too brief in my descriptions to fully convey my intended point.
Edited by booNyzarC, 02 October 2012 - 03:44 AM.