25d. Constraints from Rhead vs. Rbullet—SL7A—mhead = 8 lb

For mhead = 8 lb
    Increasing the mass of the head to 8 lb again shifts the pattern of constraints to the left,. but leaves the number of acceptable solutions at 30 out of 81. The boundaries of the zone of allowed solutions are defined as above. The constraints imposed by vfrags > 1100 ft s-1 coincide closely with those for PE < 0, but are less restrictive by three cases. The more restrictive PE mask is shown in all tables.

PE, ft-lb

    The allowed values of PE range from 110 to 600 ft-lb, very similar to the two previous ranges.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 473 212 -825 -21,400 -6287 -339 316 511 595
5.00 554 431 112 -1223 -41,440 -5307 -339 300 499
5.25 597 528 382 -6 -1760 -98,870 04587 -339 -285
5.50 624 580 499 327 -144 -2447 -4038 -339
5.75 642 611 560 467 265 -309 -3357 -3608
6.00 655 632 597 539 431 193 -504 -4585 -902,300
6.25 664 647 622 582 516 391 112 -737 -6278
6.50 671 658 638 610 565 490 346 20 -1016
6.75 677 666 651 629 597 547 462 297 -86

vfrags, ft s-1

    The allowed values for vfrags ranged from 420 to 920 ft s-1, very similar to previous ranges. The mask shown below represents vfrags and PE

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 593 844 1465 5532 -3115 -1215 -755 -547 -430
5.00 491 641 923 1647 7657 -2889 -1215 -770 -563
5.25 425 526 691 1007 1855 11,740 -2712 -1215 -783
5.50 378 452 563 744 1098 2095 22,760 -2568 -1215
5.75 344 401 481 601 800 1197 2377 160,100 -2449
6.00 317 363 425 511 641 860 1305 2710 -35,340
6.25 297 334 383 449 542 682 922 1423 3113
6.50 280 311 352 404 474 573 726 989 1553
6.75 265 293 327 369 425 499 606 772 1061

tlurch, ms

    Under the leftward movement relative to mhead = 7 lb, the disallowed area at the lower left has disappeared, while the disallowed area at the upper right has increased. But it still fell within the broader area of values disallowed by PE.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 10.1 7.1 4.1 1.1 -1.9 -4.9 -7.9 -11.0 -14.0
5.00 12.2 9.4 6.5 3.6 0.8 -2.1 -4.9 -7.8 -10.7
5.25 14.1 11.4 8.7 6.0 3.2 0.5 -2.2 -4.9 -7.7
5.50 15.9 13.3 10.7 8.1 5.5 2.9 0.3 -2.3 -4.9
5.75 17.4 15.0 12.5 10.0 7.5 5.0 2.5 0.0 -2.4
6.00 18.9 16.5 14.1 11.7 9.4 7.0 4.6 2.2 -0.2
6.25 20.2 17.9 15.7 13.4 11.1 8.8 6.5 4.2 1.9
6.50 21.5 19.3 17.1 14.9 12.7 10.5 8.3 6.1 3.9
6.75 22.6 20.5 18.4 16.2 14.1 12.0 9.9 7.8 5.7

vbodyafter, ft s-1

    The speed of the lurch ranged from -9.6 to +26.6 ft s-1. The acceptable speeds, all rearward, were 0.9–1.3 ft s-1, the same as the previous range.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 -1.01 -1.20 -1.68 -4.81 1.84 0.38 0.03 -0.13 -0.22
5.00 -0.93 -1.05 -1.26 -1.82 -6.44 1.67 0.38 0.04 -0.12
5.25 -0.88 -0.96 -1.08 -1.33 -1.98 -9.58 1.53 0.38 0.05
5.50 -0.84 -0.90 -0.99 -1.13 -1.40 -2.17 1.42 0.38
5.75 -0.82 -0.86 -0.92 -1.02 -1.17 -1.48 -2.38 1.33
6.00 -0.80 -0.83 -0.88 -0.95 -1.05 -1.22 -1.56 -2.64 26.64
6.25 -0.78 -0.81 -0.85 -0.90 -0.97 -1.08 -1.26 -1.65 -2.95
6.50 -0.77 -0.79 -0.82 -0.86 -0.92 -1.00 -1.11 -1.32 -1.75
6.75 -0.76 -0.78 -0.80 -0.84 -0.88 -0.94 -1.02 -1.15 -1.37

vsnap, ft s-1

    The snap is constrained to speeds between 4.0 and 4.9 ft s-1, a range practically identical to the previous one.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 4.35 4.06 3.81 3.58 3.38 3.20 3.04 2.90 2.77
5.00 4.58 4.27 4.01 3.77 3.56 3.37 3.20 3.05 2.91
5.25 4.81 4.49 4.21 3.96 3.74 3.54 3.36 3.20 3.06
5.50 5.04 4.70 4.41 4.15 3.92 3.71 3.52 3.36 3.20
5.75 5.26 4.91 4.61 4.34 4.10 3.88 3.69 3.51 3.35
6.00 5.49 5.13 4.81 4.52 4.27 4.05 3.85 3.66 3.50
6.25 5.72 5.34 5.01 4.71 4.45 4.22 4.01 3.82 3.64
6.50 5.95 5.56 5.21 4.90 4.63 4.39 4.17 3.97 3.79
6.75 6.18 5.77 5.41 5.09 4.81 4.55 4.33 4.12 3.93

Ahead to Constraints for mhead = 9 lb
Back to Constraints for mhead = 7 lb

Back to Constraints from Rhead and Rbullet

Back to Physics of the Head Shot