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Originally posted by MacMerdin
Originally posted by bsbray11
Much thanks for that clarification. So, if I just replace the term 'angular momentum' with 'angular momentum', my usage is golden, right?
You spelled them both the same.
Simple mistake in English is all.
In physics the angular momentum of an object with respect to a reference point is a measure for the extent to which, and the direction in which, the object rotates about the reference point.
In particular, if the body rotates about an axis, then the angular momentum with respect to a point on the axis is related to the mass of the object, the angular velocity and the distance of the mass to the axis.
Without applying torque to the object, with respect to the reference point, the angular momentum is constant. The angular momentum is a measure for the amount of torque that has been applied over time to the object. The object has rotational inertia that resists changes in rotational motion, quantified by the moment of inertia.
In physics, torque can be thought of informally as "rotational force". Torque is measured in units of newton metres. The concept of Torque, also called moment or couple, originated with the work of Archimedes on levers. The rotational analogues of force, mass and acceleration are torque, moment of inertia and angular acceleration respectively.
Angular acceleration is the rate of change of angular velocity over time.
The deceleration of the top's rotation is even more discrediting to the idea of a gravity-driven collapse, which cannot explain the documented changes in angular momentum. Conservation of angular momentum is the tendency of a rotating solid object to continue rotating at the same rate in the absence of torque. Initially the block consisting of the top 30 stories of the tower acted as a solid object, and rotated about a fulcrum near the impact zone. Although the fulcrum was the axis of rotation, the block had two types of momentum: the angular momentum of the block around its center of gravity, and the linear momentum of its center of gravity tilting away from the tower's vertical axis. When the portion of the building below the collapse zone disintegrated, the block would preserve its angular momentum by continuing to rotate at the same rate (but the acceleration of the rotation would cease due to the removal of the torque that was being applied by intact columns at the fulcrum). But in reality, the rotation of the block rapidly decelerated as the downward plunge began. Once the fall started, any resistance it encountered from parts of the building would have imparted torque on the block in the same direction as the original fulcrum, and would have accelerated its rotation.
Given the apparent absence of any torque to counter the rotation of the block, the slowing of its rotation can only be explained by the breakup of most of the block, which would have destroyed its moment of inertia.
Originally posted by Bsbray11:You could see when the building was tilting via that corner, and then you see an explosion erupt from the area from within the building, and everything beyond that is smoke and dust. My bet is that the momentum was lost then, from the fulcrum being destroyed.
Originally said by Lord Kelvin:I often say . . . that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind; it may be the beginning of knowledge, but you have scarcely, in your thoughts, advanced to the stage of science, whatever the matter may be
Originally posted by MacMerdin: It's not the act of terrorism that's so horrible...it's the amount of deaths.
Originally posted by LeftBehind
Originally posted by Bsbray11:You could see when the building was tilting via that corner, and then you see an explosion erupt from the area from within the building, and everything beyond that is smoke and dust. My bet is that the momentum was lost then, from the fulcrum being destroyed.
And there you have it. The fulcrum was destroyed by the collapse of the building. No bombs were needed. I'm glad you could clear up this issue on your own.
Each floor was designed to withstand 1300 tons beyond it's own weight. When one floor collapsed the upper floors brought roughly 45,000 tons onto the level beneath the collapsed floor. Over 34 times the weight they were designed to hold.
Keep in mind the collapse did encounter resistance as it fell. They fell in less than 10 seconds at close to 200kph. If they had encountered no resistance, they would have fallen in 8 seconds at around 300kph.
Why do you need the blueprints to calculate how much force would be required to blow smoke out the windows?
You have the floor plan, and I just gave you the weight of the upper floors. Please show me with numbers how it is insufficient force. What do you need from the blueprints to calculate that?
Originally posted by bsbray11
But two parts of this confuse me. The underlined section states that torque was being applied by intact columns around the fulcrum. Would that be a negative amount of torque applied from those intact columns? I don't see how they would contribute to the acceleration, but maybe someone here can shed some light on that.
Originally posted by LeftBehind
Originally posted by MacMerdin: It's not the act of terrorism that's so horrible...it's the amount of deaths.
That is ridiculous. If, as some would have us believe, the Bush Administration needed a "new pearl harbor", the act of terror is absolutely necessary. If 9-11 had been caused by accident then there is no reason to go to afghanistan and there is no justification for a war on terror. If we are to believe that it was masterminded by the government then a collapse by demolition would be tottally unecessary. The terror attack would have been enough.
Originally posted by bsbray11
Maybe you're a tad too dimwitted to read the posts, but as long as there is contact between the upper floors and lower floors, there will be a pivot for the momentum. So your explanation makes 0 sense.
So how exactly did the buildings stand before 9/11, if these floors weren't designed to carry the weight they'd been carrying for about 30 years? Knock out one floor and suddenly the weight held for so long is now unbearable for the lower floors, despite massive redundancy?
Your problem, and the problem with everyone looking at it by a floor-by-floor basis, is that the columns were not set up floor by floor. The core columns were welded together across lengths of floors, if not the whole buildings in cases of some columns.
. And I'm assuming that's where this "floor by floor" bullcrap comes from, taking the massive weight and saying "welp this floor alone wouldn't be able to hold all that" and moving along to the next floor to say the exact same thing, as if starting over with a new problem completely rather than being forced to accept that massive amounts of energy would be required to crush so many multitudes of very strong materials. An amount of energy that the caps no doubt did not possess.
But I have ask, where does the figure of 10 seconds come from? Such a quick time is support for the demo case, but is also inaccurate. But you try to back it up and show us your sources for your figures that you calculated, and then I'll show you some calculations from CNN clocks and seismic records and we'll see which is a more accurate means.
You have yet to establish that it would be possible for air to have caused the squibs. See my last post on that and follow the links to the Wikipedia articles, if you want to learn about pressure gradients.
From the Eager Link:References
1. Presentation on WTC Collapse, Civil Engineering Department, MIT, Cambridge, MA (October 3, 2001).
2. D. Drysdale, An Introduction to Fire Dynamics (New York: Wiley Interscience, 1985), pp. 134–140.
3. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 10–67.
4. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 6-62 to 6-70.
5. Steven Ashley, “When the Twin Towers Fell,” Scientific American Online (October 9, 2001); www.sciam.com/explorations/2001/100901wtc/
6. Zdenek P. Bazant and Yong Zhou, “Why Did the World Trade Center Collapse?—Simple Analysis,” J. Engineering Mechanics ASCE, (September 28, 2001), also www.tam.uiuc.edu/news/200109wtc/
7. Timothy Wilkinson, “World Trade Centre–New York—Some Engineering Aspects” (October 25, 2001), Univ. Sydney, Department of Civil Engineering; www.civil.usyd.edu.au/wtc.htm.
8. G. Charles Clifton, “Collapse of the World Trade Centers,” CAD Headlines, tenlinks.com (October 8, 2001); www.tenlinks.com/NEWS/special/wtc/clifton/p1.htm.
Thomas W. Eagar, the Thomas Lord Professor of Materials Engineering and Engineering Systems, and Christopher Musso, graduate research student, are at the Massachusetts Institute of Technology.
Originally posted by LeftBehind
It is possible that I'm dimwitted, but I'm not dimwitted enough to believe this new bit of craziness.
So basically your saying that it doesnt matter that the collapse already started?
Once the cap fell ten feet and hit the rest of the building the fulcrum was somehow reestablished?
What was that you said about zero sense?
Massive redundancy? Do you even know what that means?
Tell you what, use that SAP2000 program to drop a 10 storey building on top of a skyscraper, and then tell me it's the same load as building 10 more stories.
I think your problem is that you are ignoreing that the building was put together in floors. They had to make some of the load bearing horizontal as well.
Remember these?
Really? Well then I gave you weight for the caps.
We all appreciate your learned opinion on this, but it would be nice for you to prove your outrageous claims. Why is 45000 tons not enough? How much would be required?
You got me I was wrong about the ten seconds.
However a longer time means even more resistance encountered, destroying your hardly-any-resistance mumbo jumbo.
Sorry pal, the burden of proof is on the one making outrageous claims.
I'll post later about that ridiculous paper you posted. He actually believes that the metal could be twisted and completely warped by by heat, and then magically go back to normal. Wow.
Macmerdin, did you even look at that link? The sources were clearly posted at the end. You might not have recognized them, as most conspiracy sites don't believe in sources.
Originally posted by AgentSmith
The smoke is very black and dense, it is very hot, in fact the smoke is covering a substantial area. All this from a fire with all the oxygen it could wish for, now seeing as they predict this continuing for at least 24 hours or more (on top of the day so far) and it looks pretty hot, does that throw into question any assumptions that the WTC fires were small, cool and insignificant just because of the dark smoke?
I know the fireman only reported 'two small pockets of fire' but was that not at the bottom of the damaged area?
References
1. Presentation on WTC Collapse, Civil Engineering Department, MIT, Cambridge, MA (October 3, 2001).
2. D. Drysdale, An Introduction to Fire Dynamics (New York: Wiley Interscience, 1985), pp. 134–140.
3. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 10–67.
4. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 6-62 to 6-70.
5. Steven Ashley, “When the Twin Towers Fell,” Scientific American Online (October 9, 2001); www.sciam.com/explorations/2001/100901wtc/
6. Zdenek P. Bazant and Yong Zhou, “Why Did the World Trade Center Collapse?—Simple Analysis,” J. Engineering Mechanics ASCE, (September 28, 2001), also www.tam.uiuc.edu/news/200109wtc/
7. Timothy Wilkinson, “World Trade Centre–New York—Some Engineering Aspects” (October 25, 2001), Univ. Sydney, Department of Civil Engineering; www.civil.usyd.edu.au/wtc.htm.
8. G. Charles Clifton, “Collapse of the World Trade Centers,” CAD Headlines, tenlinks.com (October 8, 2001); www.tenlinks.com/NEWS/special/wtc/clifton/p1.htm.
Thomas W. Eagar, the Thomas Lord Professor of Materials Engineering and Engineering Systems,
No references at all were given for most of the figures he gave, including all of the important ones.
References
1. Presentation on WTC Collapse, Civil Engineering Department, MIT, Cambridge, MA (October 3, 2001).
2. D. Drysdale, An Introduction to Fire Dynamics (New York: Wiley Interscience, 1985), pp. 134–140.
3. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 10–67.
4. A.E. Cote, ed., Fire Protection Handbook 17th Edition (Quincy, MA: National Fire Protection Association, 1992), pp. 6-62 to 6-70.
5. Steven Ashley, “When the Twin Towers Fell,” Scientific American Online (October 9, 2001); www.sciam.com/explorations/2001/100901wtc/
6. Zdenek P. Bazant and Yong Zhou, “Why Did the World Trade Center Collapse?—Simple Analysis,” J. Engineering Mechanics ASCE, (September 28, 2001), also www.tam.uiuc.edu/news/200109wtc/
7. Timothy Wilkinson, “World Trade Centre–New York—Some Engineering Aspects” (October 25, 2001), Univ. Sydney, Department of Civil Engineering; www.civil.usyd.edu.au/wtc.htm.
8. G. Charles Clifton, “Collapse of the World Trade Centers,” CAD Headlines, tenlinks.com (October 8, 2001); www.tenlinks.com/NEWS/special/wtc/clifton/p1.htm.
Originally posted by LeftBehind
I did give the amount of time it would take to fall with no resistance, 8 seconds. Since it took longer than that to fall that proves that there was resistance contrary to what you say.
Originally posted by LeftBehind
Keep in mind the collapse did encounter resistance as it fell. They fell in less than 10 seconds at close to 200kph. If they had encountered no resistance, they would have fallen in 8 seconds at around 300kph.
Originally posted by HowardRoark
Are you counting the time for the top of the building to hit the ground, or the top portion of the building to hit the ground?
This started the domino effect that caused the buildings to collapse within ten seconds, hitting bottom with an estimated speed of 200 km per hour.
How can you tell with all of the dust when exactly that was?
Those exterior column trees are obviously in free fall, they are also, quite obviously falling faster than the building behind them.
Just for the record WTC took around 18 - 20 seconds for the top to hit the ground.