Below is one of Dr. Art Snyder’s critiques of the jet-effect and neuromuscular-reaction theories. Dr. Snyder is a former physicist at Stanford University. He received his PhD in physics from the University of Illinois. He taught physics at Indiana University before joining the staff at Stanford University. Dr. Snyder wrote this critique in 1998 in response to Gerald Posner’s arguments about JFK’s head snap in Case Closed:
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The measurements of Itek and Thompson are almost inconsistent with a shot from a Mannlicher-Carcano. The motion is so large that nearly all the momentum of the bullet is needed to account for it. However, quantitatively Thompson and Itek were mistaken. The apparent motion between Zapruder frames Z312 and Z313 is an artifact of the blurring of frame Z313. This is not to say that JFK’s head did not move forward between frames Z312 and Z313, but that the Z313 blur obscures the motion so that it cannot be measured using these frames. The actual forward motion (~0.3 meter/sec) can be estimated by comparing Z313 to Z314. It is about 1/3 the value obtained using the Itek or Thompson measurements—consistent with a Carcano bullet imparting ~1/3 its momentum and ~1/2 its energy.
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Dr. Snyder’s analysis is illogical. He claims that frame z313 is too blurry to get an accurate measure of how much the head moved forward between z312 and the blurry z313. Dr. Snyder’s solution? Compare the blurry z313 with z314.
If I may help out the confused Dr. Snyder, I think he meant to say that one should compare the non-blurry z312 with the non-blurry z314. I don’t know if this is necessary, but at least it’s a logical idea.
In addition, Dr. Snyder is just flat wrong that the WCC/MC bullet needs
nearly all its momentum to push the head the amount reported by Itek.
I found some estimates of the mass of the human head as being 8 pounds, about 4 kilograms. I decided to make my own estimates. And I am sorry to report to the CTers of this forum that I did not do this by cutting my own head off but by measuring the circumference of my head. Both horizontally and vertically (over the top and under the chin). Assuming the same density of water (perhaps the density of bone is balanced by the sinuses) I came up with an estimate of 4.6 kilograms.
Doing some calculations, I find that moving a 4.6-kilogram mass forward with the momentum of a WCC/MC bullet going 1900 f/s, gives a calculated velocity of 1.3 meters per second. The observed Itek motion (which I recall was 2.1 inches) was 0.98 meters per second. So only about 75% of the momentum is needed, according to these calculations.
Further, there is no need to assume the entire head moved forward 2.1 inches. More likely, the head rotated forward, with the upper part of the head moving forward about 2.1 inches, and the lower part less.
All and all, by a rough estimate, only about half the momentum of the bullet is needed to move the head the observed amount in 55 milliseconds. This is inline with Ballistic Expert Larry Sturdivan’s estimate.
In actual truth, a WCC/MC bullet does have enough momentum to move JFK’s head forward about 2 inches in 55 milliseconds and still have enough momentum for its fragments to crack the windshield, dent the windshield frame, and slightly wound Mr. Tague. It is curious that the calculations are consistent with this hypothesis,
as if this is exactly what happened.By the way, my estimates and calculations:
• Rough circumference of the head 60 to 70 cm, call it 65 cm.
• Using the calculations for a sphere, volume of the head 4,600 cubic centimeters
• Mass of the head 4.6 kilograms
• Mass of the bullet 161 grains or 10.4 grams
• Velocity of the bullet, 1900 f/s or 579 meters per second
• Calculated velocity of the head after having 100% of the bullet’s momentum transferred, 1.31 meters per second
• Observed velocity of the head in the Itek study, a movement of 2.1 inches in 55 milliseconds, or 0.98 meters per second
And this does not account for the head nodding forward, and not having the entire head move a full 2.1 inches forward.
And by the way, I would expect a real
professional physicist to provide the basis of his calculations, as I did (a former high school physics student), like the estimated mass of the head, mass of the bullet, velocity of the bullet, calculated velocity of the head and the observed velocity of the head, and not just state “almost all the momentum is required”, with no numbers to back him up. Perhaps Dr. Snyder was having an off day.