25e. Constraints from Rhead vs. Rbullet—SL7A—mhead = 9 lb

For mhead = 9 lb
    Increasing the mass of the head to 9 lb shifts the pattern of constraints far enough to the left to begin to exclude some of the acceptable values. This decreases the number of allowable values from 30 to 20. Again 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 140 to 600 ft-lb, very similar to the previous ranges. The mask here is based on both PE and vfrags.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 -380 -11,470 -6287 -194 384 550 619 655 675
5.00 228 -898 -3664 -86 397 550 617 652
5.25 431 72 -1760 -2379 -5 409 550 615
5.50 524 358 -144 -3312 -1644 59 418 550
5.75 576 482 265 -451 -6462 -31,750 -1180 111 427
6.00 608 548 431 145 -898 -14,210 -13,310 -864 153
6.25 629 588 516 368 -12 -1582 -7389 -638
6.50 644 614 565 477 290 -221 -2681 -311,800 -4715
6.75 655 632 597 539 431 193 -504 -4585

vfrags, ft s-1

    The allowed values for vfrags ranged from 420 to 900 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 1238 4107 -3115 -1129 -690 -496 -388 -318 -270
5.00 831 1500 7657 -2465 -1062 -676 -496 -392 -324
5.25 641 952 1855 35,140 -2073 -1007 -665 -496 -396
5.50 530 715 1098 2363 -15,530 -1812 -962 -655 -496
5.75 458 583 800 1276 3153 -6703 -1625 -924 -646
6.00 407 498 641 898 1500 4546 -4407 -1484 -892
6.25 370 439 542 705 1011 1787 7657 -3351 -1375
6.50 341 396 474 589 778 1145 2171 20,790 -2744
6.75 317 363 425 511 641 860 1305 2710 -35,340

tlurch, ms

    With the leftward movement relative to mhead = 8 lb, the disallowed area at the upper right continued to increase, but 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 4.8 1.5 -1.9 -5.3 -8.7 -12.1 -15.5 -18.9 -22.2
5.00 7.2 4.0 0.8 -2.4 -5.7 -8.9 -12.1 -15.3 -18.5
5.25 9.4 6.3 3.2 0.2 -2.9 -6.0 -9.0 -12.1 -15.2
5.50 11.3 8.4 5.5 2.5 -0.4 -3.3 -6.2 -9.2 -12.1
5.75 13.1 10.3 7.5 4.7 1.9 -0.9 -3.7 -6.5 -9.3
6.00 14.7 12.0 9.4 6.7 4.0 1.3 -1.4 -4.0 -6.7
6.25 16.2 13.7 11.1 8.5 5.9 3.4 0.8 -1.8 -4.4
6.50 17.6 15.1 12.7 10.2 7.7 5.2 2.8 0.3 -2.2
6.75 18.9 16.5 14.1 11.7 9.4 7.0 4.6 2.2 -0.2

vbodyafter, ft s-1

    The speed of the lurch ranged from -16.6 to +4.6 ft s-1. The acceptable speeds, all rearward, were 0.9–1.2 ft s-1, very similar to the 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 -1.51 -3.71 1.84 0.32 -0.02 -0.17 -0.26 -0.31 -0.35
5.00 -1.19 -1.71 1.34 0.26 -0.03 -0.17 -0.25 -0.30
5.25 -1.05 -1.29 -1.98 1.04 0.22 -0.04 -0.17 -0.25
5.50 -0.96 -1.10 -1.40 -2.37 0.84 0.19 -0.05 -0.17
5.75 -0.91 -1.00 -1.17 -1.54 -2.98 4.60 0.70 0.16 -0.06
6.00 -0.87 -0.94 -1.05 -1.24 -1.71 -4.05 2.84 0.59 0.13
6.25 -0.84 -0.89 -0.97 -1.10 -1.33 -1.93 2.02 0.50
6.50 -0.82 -0.86 -0.92 -1.01 -1.15 -1.44 -2.22 -16.55 1.56
6.75 -0.80 -0.83 -0.88 -0.95 -1.05 -1.22 -1.56 -2.64

vsnap, ft s-1

    The snap is constrained to speeds between 4.0 and 4.8 ft s-1, a range practically identical to the previous ones.

Rbullet, in Rhead, in   3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50
4.75 3.87 3.61 3.38 3.18 3.01 2.85 2.71 2.58 2.46
5.00 4.07 3.80 3.56 3.35 3.16 3.00 2.85 2.71 2.59
5.25 4.27 3.99 3.74 3.52 3.32 3.15 2.99 2.85 2.72
5.50 4.48 4.18 3.92 3.69 3.48 3.30 3.13 2.98 2.85
5.75 4.68 4.37 4.10 3.85 3.64 3.45 3.28 3.12 2.98
6.00 4.88 4.56 4.27 4.02 3.80 3.60 3.42 3.26 3.11
6.25 5.09 4.75 4.45 4.19 3.96 3.75 3.56 3.39 3.24
6.50 5.29 4.94 4.63 4.36 4.12 3.90 3.70 3.53 3.37
6.75 5.49 5.13 4.81 4.52 4.27 4.05 3.85 3.66 3.50

Ahead to Constraints for mhead = 10 lb
Back to Constraints for mhead = 8 lb

Back to Constraints from Rhead and Rbullet

Back to Physics of the Head Shot