"My conclusion is that the fall of the towers is inconsistent with the pancake model. The floors beneath the point of initial collapse must have given way prior to the arrival of the top floors, i.e. by explosive demolition. Understand that I haven't attempted to include resistance of the steel in the towers to the collapse which would have further retarded the progress of the fall. With that in place a fall of 20 or more seconds is not unreasonable. 11 seconds is definitely unreasonable."
The equations that may be of interest to you are contained within one short page. They contradict what you're assuming. Here they are:
Thank you. This is interesting, and was pretty much what I was too lazy to do in detail earlier. It made me aware of a sloppy statement of mine. My claim that roughly half the kinetic energy was absorbed is incorrect - it was actually much less than half.
I agree with the point that the fall appears to have been surprisingly fast, but cannot draw the same conclusion. What sense is there in the theory that explosives were placed in the building and detonated only during the collapse started on the floor hit by a plane?? This is as ludicrous as claiming the US government were in league with Al Qaeda in a co-ordinated attack on the WTC.
We don't know what type of explosives were used. But, it appears as though the detonation of the explosives was not compromised by where the planes hit. Once the explosives were detonated, anything above the point of impact disintegrated with as much ease as the massive rods in the center of the building...simply turning to dust.
No one claimed responsibility for the attacks. It is a key modus operandi for any terrorist group committing a terrorist attack, to claim responsibility. Whereas a "cover-up" is acquainted with governmental crimes.
Soon after the attacks, a widely reported anthrax assault occurred. After investigation, the anthrax turned out to be of "military grade". A gentleman by the name of Dr. Bruce Ivins was accused of the assault. Later it was found that he could not have had access to this "military" weapon.
We do not know what type of explosives were used. It could be explosives not normally used in building demolitions. It could be high-tech military explosives. There is no doubt that this country is at the "cutting edge" of military weapons, spending over 40% of every tax dollar on the military--military weapons technology.
It is just not beyond reason to find those investigating this event as "concerned", rather than "crazy". There is much about this event which does not allow one to remain comfortable as to it's cause, and who really perpetrated it.
I independently did the simple calculations performed in tryst's last link. What they imply is this:
If the very top floor of a building had been where the collapse had started and if the floors all stuck together on the way down and if the slowing down due to the failure of the floors is ignored, the collapse would have taken 13 seconds
Fortunately, someone else has taken the time to determine more precisely how long the fall took from the nearest real-time video and audio record. The actual time was just over 15 seconds. The extra 2 seconds over the theoretical minimum indicates that about 25% of the energy was absorbed in the collapse, which seems entirely reasonable.
The puzzle of how a tower could fall in 9 seconds is solved by the fact that it actually fell in 15 seconds. Accurate empirical data - a wonderful aid to understanding. Or to put it another way "garbage in, garbage out".