Xalka faahfaahsan ee lagu go'aaminayo nooca aasaasiga ah ee habsarka afarta bar ee ku xigta iyadoo la adeegsanayo f

Ku fidinta falanqaynta xiriirka ka dhexeeya dhaqdhaqaaqa qaraabada iyo cabirka qaraabada iyo booska ulaha isku xidhka silsilad afar-bar ah ah, waxaan ka sii baari karnaa xaalado kaladuwan si aan u sawiro indho indhayn. Markaad tixgalinayso cabirka qaraabada iyo booska usha kasta, waxaan go'aan ka gaari karnaa xalka noocyada kala duwan ee farsamooyinka aasaasiga ah ee ka dhex jira qaab dhismeedka loo maleynayo.

Xiriirka cabirka qaraabada ayaa loo qaybin karaa saddex kiis. Xaaladda koowaad, markii "AD < bc" and a and b are adjacent bars, we can take the shortest bar (a) as the reference member and analyze its relative motion with the two adjacent bars. Since "a < b" and "c < d", we can conclude that rod a can be straightened and collinear with the two adjacent rods. In other words, a can overlap and be aligned with the neighboring rods.

Si loo dhiso xaaladdan isku-darka, in sinnaan la'aanta soo socota waa inay haysaa: "D + C> B + A". Tani waxay muujineysaa in "D> C + A", oo waafaqsan shuruudaha la siiyay. Intaa waxaa sii dheer, waxaa lagu canaaneyn karaa in sidoo kale in la isku dhafan karo oo ay isku dhaftaan oo ay weheliso ushaha ka soo horjeedda ee ka soo horjeedda (c), adoo adeegsanaya sabab la mid ah. Sidaa daraadeed, cirifka ka soo horjeedda (B ama c) ee xarkaha ugu gaaban (a) ayaa kaliya ku wareegi kara qaraabo labada qaybood ee ku dhow xagal ka yar 180 °. Taas macnaheedu waa in xagasha wareejinta ay ku kooban tahay wax ka yar 180 °, laakiin ka badan 50 ° (sida xaaladdiiba).

Dacwada labaad, markii A iyo B ay yihiin ulaha iska soo horjeedda, isla habkaas sida kiiska ugu horreeya loo adeegsan karo si loo muujiyo in baararka ugu gaaban (a) uu wali ku wareejin karo labada qaybood ee ku dhow. Sidaa darteed, waxaan iska saari karnaa doodaha seenyadan.

Xaaladda saddexaad, waxaan u tixgelinaynaa in dhaqdhaqaaqa qaraabada u dhexeeya barga ugu dheer (D) iyo labada kalood ee ku dhow. Laga soo bilaabo xaaladaha la yaqaan, waxaan ka goyn karnaa taas "d> b + ac" iyo "d> e + ab". Tani waxay muujineysaa in Rod D aan la toosi karin oo ay weheliso labada ulood ee ku xiga. Intaa waxaa sii dheer, haddii d la isku dhejin karo oo ay kululaato ulaha deriska ah, waxaan haysan lahayn "d + c> b + a> b + c" (xaaladaha la siiyay). Sidaa darteed, waxaan ku soo gabagabeynay in Rod D uusan isku duwanaan karin oo uu isku dhafan karo ulaha deriska ah. Muuqaalkaan, labada xaglood ee wareejinta ayaa ku xaddidan wax ka yar 180 °.

Isku-darka gabagabada laga soo bilaabo kiisaska koowaad, labaad, iyo kan saddexaad, waxaan ku soo koobi karnaa taas, iyadoo la raacayo xaaladda "xayeysiiska < bc", regardless of the various positions, the shortest bar (a) and the second adjacent bar (b) can rotate relative to each other for a whole circle. However, the opposite pole (b or c) and the two adjacent poles of the shortest bar can only swing relative to each other, with the relative swing angle being less than 180°.

Adigoo caddeynaya dhaqdhaqaaqa qaraabada ee u dhexeeya labada ulood ee silsiladood ee nooca afarta bar ah ee afarta bar ah, waxaan si fudud u go'aamin karnaa nooca mashiinka anigoo dooranaya usha kasta oo ah qaabka tixraaca. Tusaale ahaan, haddii usha ugu gaaban (a) ee dhinaca ku xigta waxaa loo isticmaalaa sidii qaabka, qaab isjecel-digaag ah. Dhanka kale, haddii dhinaca ka soo horjeedda ee usha ugu gaaban loo isticmaalo sida jirku u yahay, qaab laba laab ah ayaa la helaa. Waxaa muhiim ah in la ogaado in dhagaxa, kiiska dambe, uusan ku wareejin booska aruuriska saqafka ah ee ku jira xargaha ama xadka fidinta ee xagasha, iyo xagasha wareegga waa inay ka yaraadaan 180 °.

Gunaanad, iyada oo loo marayo falanqaynta xiriirka ka dhexeeya dhaqdhaqaaqa qaraabada, cabirka qaraabada ah, iyo booska qaraabada ee ulaha isku xidhka silsiladda afarta bar ee afarta bar ah ee xargaha ah, waxaan go'aan ka gaari karnaa nooca farsamada iyo xadidaadkeeda. Fahmitaanka mabaadi'da, injineerada iyo naqshadeeyayaasha ayaa horumarin kara oo kor u qaadi kara noocyo kala duwan oo ah qaabab kala duwan oo loogu talagalay codsiyada gaarka ah.