 with perhaps 50 acres each and so one or two steps up the social ladder. They may well have had relatives who slipped back down; younger sons generally did not inherit land and so would be particularly likely to disappear from view. And despite the problems, the wills do provide a lot of incidental information. Several describe pieces of land in detail and give place names that can be identified on later maps. Most significantly, there is a marked clustering into a relatively small region near Headcorn.
The two earliest wills on record belong to this branch of the Brygge family. Hasted states that they held Swinford manor in Hothfield from the time of King Henry V (1413-1422) and were "descended from John atte Bregge, one of those eminent persons whose effigies are represented kneeling habited in armour in the painted window in Great Chart church". This ties in with Roger's will, which implies that he held land in Great Chart as well as in the adjacent parish of Hothfield. The difference in spelling between Brygge and Bregge had no significance and Roger's will includes a bequest to "William Bregge son of Henry Brygge".
Roger Brygge 31 Aug 1460, ACC 1/113.
son William, probably youngest because he gets the smallest share.
Roger also refers to land recently purchased from W Brygge of Cro, another cousin, I suppose, though Cro does not match up with any more recent placename. Conceivably it was a shortened form of Headcorn, then spelled "Hedecrone".
Definitely Roger's son though his will was entered first in the probate register, suggesting that he died first. However, there may have been a delay in sorting out all the provisions of Roger's will and in any case, Henry refers to le nethir place and a piece of land called debeles which were specifically left to him by Roger.
Evidently wealthy, but the will is a fascinating list of bequests with all substantial property going to his wife and her heirs.
There are several wills but it is not possible to pick out a definite line of descent, partly because there are too many Johns! John Bregge (1493) mentions the land of the heirs of Pyers Bregge, adjoining one of his own fields in Hokyngbery, while Pyers leaves money for the repair of the paved road in Hokynbery so presumably lived nearby. Hokyngbery is clearly an old spelling of Hawkenbury, which lies on the western edge of Headcorn parish, on the road to Staplehurst. Today there are just a few houses and a couple of farms, probably much the same as 500 years ago! Two of the wills refer to the "King's road" which can only be the road that runs straight through Hawkenbury from NE to SW, crossing the river Stour at Hawkenbury Bridge on the way to Staplehurst. This is the kind of situation which could have given the Bridge family its name, though there is no evidence that this particular bridge was the one in question (and I don't even know if it existed at the time). There may of course have been two bridges giving rise to two separate families; conceivably the Hothfield and Headcorn families were not related and the difference in spelling (Bregge/Brygge) is actually significant.
Giles Bregge, 20 Mar 1470/1, proved 7 Apr 1472 ACC 2/120.
Richard and John were to get equal shares after Godeleve's death, provided they paid the feoffees 40s.
Probably a cousin. The "A" in the name reflects the origin of the surname as a description: Pyers who lives "at the bridge". His land adjoined that of John, in Hawkenbury on the western edge of Headcorn parish.
son Stephen: the will seems to imply that Stephen had no heirs at the time of writing.
grandson John: his father seems to have died earlier. John may be the man who made his will in 1525.
Probably Giles's brother.His lands are described in some detail, all in Hackingbury, alongside the King's road and adjoining the land of Pyers Bregge.
wife Johanna, who got the property for her life.
son John junior married to Benedicta, daughter of Henry May of Egerton.
son Thomas, who was executor, got several pieces of land, all described, totalling 11 acres.
son Robert was to get either 100 shillings from Thomas or else a half share in his inheritance.
John names three feoffors, one of whom is Thomas Brygge (not to be confused with his son — the different spellings are maintained consistently). This may be a member of the Hothfield family.
Very probably Pyers's son. No children.
He could be the son of John 1493, above, if remarried.
feoffee Thomas Bregge, who might also be his brother.
Probably brother to John, above.
Possibly the grandson of Pyers. He has a son Alexander; the use of this more distinctive name suggests that this is the start of the line through Alexander and William.
Stone stile is still on the map and lies on the road from Headcorn village to Hawkenbury. The name is obviously descriptive; a stile is normally made of wood so a stone one would be distinctive.
No evidence to show how (or if) he links in with the older families.
Could be the son of Richard Bregge of Headcorn.
son John junior inherited land in Smarden.
Very likely to be the son of John, 1523.
This family is very likely to have branched off one of the others — Hothfield is nearest. The spelling of the name eventually settles down as Briggs and is seen in Bethersden and neighbouring parishes for several hundred years.Eugene P. Lemke passed away Thursday, September 12, 2019 in Ashland Samaritan Hospital surrounded by his family. He was 83.
He was born September 21, 1935 in Hutchinson, Minnesota to parents William & Martha (Miller) Lemke. After he graduated from Hutchinson High School with the class of 1954, he proudly served his country by joining the US Army, during the Korean War.
Eugene worked in construction in Alaska for 35 years, which included the Alaskan Pipeline from 1975 to 1978, until retiring in 1999 from Crowley Marine Service in Nome, Alaska. He also worked for a short time in Israel from 1978 to 1982 on a military base construction project.
He was a lifetime member of the Perryville VFW Post 8586 and commander in 2002, also a member of the Loudonville American Legion Post 257, the AMVETS in Haysville, and 40 et 8 Veterans Organization.
He is survived by his children Cheryl Clark, David Lemke, Thomas (Mary) Lemke, and Blayn Lemke; six grandchildren; two great grandchildren; and a sister-in-law Lorraine Lemke.
In addition to his wife LaDonna (Harris) Lemke in 2006, Eugene was preceded in death by his parents; brothers Melvin and Wallace Lemke, and an infant sister.
Celebration of life service with military honors provided by the Perrysville VFW and Loudonville American Legion in Eugene’s honor will take place Wednesday, September 18, 2019 at 4 p.m. at the Perrysville VFW Pavilion, 2802 Co Rd 917, Perrysville, Ohio.
Sorry to hear about Gene, we always looked forward to seeing him when we came back home.
<issue_start><issue_comment>Title: Problem 2.2
username_0: Hi,
It looks to me as if either the problem is different in my edition of the book, or something.  The figure only has one degree of freedom (no cart or y)
![Problem 2 2 Figure 6 3](https://user-images.githubusercontent.com/994565/113089945-860faf80-919d-11eb-96e5-ebb08803420c.png)
, just a pendulum that is directly driven by a motor.  Is this what your edition looks like?
Thanks,
Rob
<issue_comment>username_0: [Problem 2-2.pdf](https://github.com/username_1/friedland-csd-solutions/files/6240606/Problem.2-2.pdf)
Here are my solutions for the problem in my edition.
<issue_comment>username_1: @username_0 I added a solution in the PR listed above.  There was a sign difference between your solution and mine, but I think we want the $+ m g \ell \theta$ not $- m g \ell \theta$, since derivative of $\cos \theta$ wrt $\theta$ is $-\sin \theta$.

If this looks good to you, I will merge.  If I don't hear anything from you within a few weeks, I will merge.
<issue_comment>username_2: I do have a concern with problem 2.2. Specifically the second half, my derivation of the fixed pendulum matches @username_0.
It seems to me that in the derivations shown here (I'm looking at the second part of 2.2)  replace the input (u) with the angular acceleration of the motor (w_dot). I'm assuming this was the logic since (u) has been replaced by (