25c--Mhead = 7

For m_head = 7 lb
Increasing the mass of the head to the default case of 7 lb again shifts the pattern of constraints to the left and increases the number of allowable solutions as the lower right part of the allowable zone comes completely into the table. The boundaries of that zone are defined as above. Again, the constraints imposed by v_frags > 1100 ft s^-1 coincide almost perfectly with those for PE < 0. The two masks are again shown as one.

The allowed values of PE range from 120 to 600 ft-lb, very similar to the two previous ranges. The number of acceptable values has increased from 18 to 30. This means that a 7-lb head is heavy enough to allow nearly half the solutions to be acceptable.

R_bullet, in ↓ R_head, in →	*3.50*	*3.75*	*4.00*	*4.25*	*4.50*	*4.75*	*5.00*	*5.25*	*5.50*
*4.75*	618	568	473	263	-380	-4585	-146,400	-2060	-76
*5.00*	640	608	554	452	228	-443	-4585	—	-2611
*5.25*	655	632	597	539	431	193	-504	-4585	—
*5.50*	665	649	624	587	524	409	159	-564	-4585
*5.75*	673	660	642	616	576	509	387	124	-623
*6.00*	679	669	655	636	608	565	494	365	89
*6.25*	684	675	664	649	629	599	554	479	342
*6.50*	687	680	671	660	644	622	590	542	463
*6.75*	690	684	677	667	655	638	615	581	530

The pattern of disallowed velocity of the fragments again coincided nearly perfectly with negative values for PE, and so did not add to the constraining process. The mask shown below represents v_frags and PE. The allowed values for v_frags ranged from 420 to 910 ft s^-1, very similar to previous ranges.

R_bullet, in ↓ R_head, in →	*3.50*	*3.75*	*4.00*	*4.25*	*4.50*	*4.75*	*5.00*	*5.25*	*5.50*
*4.75*	390	471	593	802	1238	2710	-14,260	-1964	-1055
*5.00*	348	407	491	617	831	1272	2710	-20,770	-2149
*5.25*	317	363	425	511	641	860	1305	2710	-35,340
*5.50*	294	331	378	442	530	664	887	1337	2710
*5.75*	275	306	344	393	458	550	686	914	1367
*6.00*	260	286	317	357	407	475	568	708	940
*6.25*	248	270	297	329	370	422	491	587	730
*6.50*	237	257	280	307	341	382	436	507	605
*6.75*	228	245	265	289	317	352	395	450	523

As before, t_lurch < 25 ms offers milder constraints than PE. The leftward shift of the patterns relative to m_head = 6 lb shrank the disallowed area at the lower left to only two points, but introduced a disallowed area at the upper right, where the values of t_lurch became negative. Although this area was larger (six points), it still fell within a broader area of similar shape for PE. The values disallowed by t_lurch are shown in boldface.

R_bullet, in ↓ R_head, in →	*3.50*	*3.75*	*4.00*	*4.25*	*4.50*	*4.75*	*5.00*	*5.25*	*5.50*
*4.75*	15.4	12.8	10.1	7.5	4.8	2.2	-0.4	-3.1	-5.7
*5.00*	17.2	14.7	12.2	9.7	7.2	4.7	2.2	-0.3	-2.8
*5.25*	18.9	16.5	14.1	11.7	9.4	7.0	4.6	2.2	-0.2
*5.50*	20.4	18.1	15.9	13.6	11.3	9.0	6.8	4.5	2.2
*5.75*	21.8	19.6	17.4	15.3	13.1	10.9	8.7	6.6	4.4
*6.00*	23.1	21.0	18.9	16.8	14.7	12.6	10.6	8.5	6.4
*6.25*	24.2	22.2	20.2	18.2	16.2	14.2	12.2	10.2	8.2
*6.50*	25.3	23.4	21.5	19.5	17.6	15.7	13.8	11.8	9.9
*6.75*	26.3	24.5	22.6	20.8	18.9	17.0	15.2	13.3	11.5

The speed of the lurch ranged from -2.6 to +10.4 ft s^-1, much more here than with the 6-lb head. The acceptable speeds, all rearward, were 0.9–1.3 ft s^-1, very close to previous ranges and to the observed -0.8 ft s^-1.

R_bullet, in ↓ R_head, in →	*3.50*	*3.75*	*4.00*	*4.25*	*4.50*	*4.75*	*5.00*	*5.25*	*5.50*
*4.75*	-0.85	-0.92	-1.01	-1.17	-1.51	-2.64	10.42	0.96	0.26
*5.00*	-0.82	-0.87	-0.93	-1.03	-1.19	-1.53	-2.64	—	1.10
*5.25*	-0.80	-0.83	-0.88	-0.95	-1.05	-1.22	-1.56	-2.64	—
*5.50*	-0.78	-0.81	-0.84	-0.89	-0.96	-1.06	-1.24	-1.58	-2.64
*5.75*	-0.77	-0.79	-0.82	-0.86	-0.91	-0.98	-1.08	-1.26	-1.60
*6.00*	-0.75	-0.77	-0.80	-0.83	-0.87	-0.92	-0.99	-1.10	-1.28
*6.25*	-0.74	-0.76	-0.78	-0.81	-0.84	-0.88	-0.93	-1.00	-1.12
*6.50*	-0.74	-0.75	-0.77	-0.79	-0.82	-0.85	-0.89	-0.94	-1.02
*6.75*	-0.73	-0.74	-0.76	-0.78	-0.80	-0.82	-0.86	-0.90	-0.96

These results show that the snap of a 7-lb head is constrained to speeds between 4.0 and 4.8 ft s^-1, a range consistent with the observed v_snap > 3.3 ft s^-1 and practically identical to the previous range.

R_bullet, in ↓ R_head, in →	*3.50*	*3.75*	*4.00*	*4.25*	*4.50*	*4.75*	*5.00*	*5.25*	*5.50*
*4.75*	4.97	4.64	4.35	4.09	3.89	3.66	3.48	3.31	3.16
*5.00*	5.23	4.88	4.58	4.31	4.07	3.86	3.66	3.49	3.33
*5.25*	5.49	5.13	4.81	4.52	4.27	4.05	3.85	3.66	3.50
*5.50*	5.76	5.37	5.04	4.74	4.48	4.24	4.03	3.84	3.66
*5.75*	6.02	5.62	5.26	4.96	4.68	4.43	4.21	4.01	3.83
*6.00*	6.28	5.86	5.49	5.17	4.88	4.63	4.40	4.19	4.00
*6.25*	6.54	6.10	5.72	5.39	5.09	4.82	4.58	4.36	4.16
*6.50*	6.80	6.35	5.95	5.60	5.29	5.01	4.76	4.54	4.33
*6.75*	7.06	6.59	6.18	5.82	5.49	5.20	4.94	4.71	4.50