Cibiyar nauyi - matsaloli da mafita

Cibiyar nauyi - matsaloli da mafita

1. Kayyade daidaitattun cibiyar nauyi ta abu kamar yadda aka nuna a cikin hoton da ke ƙasa.

Magani:

Raba abin zuwa sassa uku.

Yankin sashi na 1 (A ₁ ) = (2)(6) = 12 cm ²

Tsakiyar wurin yana kan axis ɗin x (x ₁ ) = 1/2 (2) = 1 cm

Ma'aunin tsakiya yana kan axis na y (y ₁ ) = 1/2 (6) = 3 cm

Yankin sashi na 2 (A ₂ ) = (4)(2) = 8 cm ²

Tsakiyar wurin yana kan axis ɗin x (x ₂ ) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Ma'aunin tsakiya yana kan axis na y (y ₂ ) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Yankin sashi na 3 (A ₃ ) = (2)(6) = 12

Tsakiyar wurin yana kan axis ɗin x (x ₃ ) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Ma'aunin tsakiya yana kan axis na y (y ₃ ) = 1/2 (6) = 3 cm

Daidaito na tsakiyar nauyi a x axis:

Daidaito na tsakiyar nauyi a y axis:

Daidaito na tsakiyar nauyi na abu yana a axis x da axis y (x, y) = (4, 3)

2. Kayyade daidaitattun cibiyar nauyi ta abu, game da axis x.

Solutions

Raba abin zuwa sassa uku, A, B, C, da D.

Lissafa yankin kowane ɓangare:

A _A = ½ (tushe)(tsawo) = ½ (1.5)(3) = (1.5)(1.5) = 2.25

A _B = (tsawo)(faɗi) = (4.5-1.5)(1) = (3)(1) = 3

A _C = ½ (tushe)(tsawo) = ½ (6-4.5)(3) = (1.5)(1.5) = 2.25

A _D = ½ (tushe)(tsawo) = ½ (4.5-1.5)(6-3) = ½ (3)(3) = (1.5)(3) = 4.5

y_A = 1/3 (3) = 1

y _B = 1/2 (1) = 0,5

y _C = 1/3 (3) = 1

y _D = 3 + (1/3)(6-3) = 3 + (1/3)(3) = 3 + 1 = 4

Daidaito na tsakiyar nauyi a y axis:

Daidaiton tsakiyar nauyi a kusa da axis x shine 2 cm.

3. Kayyade daidaitattun cibiyar nauyi ta abu, kamar yadda aka nuna a cikin hoto.

Magani:

Raba abin zuwa sassa huɗu, A, B, C, da D.

Lissafa yankin kowane ɓangare.

A _A = (tsawo)(faɗi) = (4)(3) = 12

A _B = ½ (tushe)(tsawo) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A _C = ½ (tushe)(tsawo) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A_D = (tsawo)(faɗi) = (8)(6-3) = (8)(3) = 24

y _A = 1/2 (3) = 1.5

y _B = 3 – (1/3)(3) = 3 – 1 = 2

y _C = 3 – (1/3)(3) = 3 – 1 = 2

y _D = 3 + (1/2)(6-3) = 3 + (1/2)(3) = 3 + 1.5 = 4.5

x _A = 1/2 (4) = 2

x _B = 4 + (1/2)(6-4) = 4 + (1/2)(2) = 4 + 1 = 5

x _C = 6 + (1/2)(8-6) = 6 + (1/2)(2) = 6 + 1 = 7

x _D = 1/2 (8) = 4

Daidaito na tsakiyar nauyi a ma'aunin x:

Daidaito na tsakiyar nauyi a y axis:

1. Menene cibiyar nauyi (COG) na wani abu?
   • amsa: Cibiyar nauyi ita ce wurin da za a iya ɗaukar nauyin abu a matsayin aiki. Ita ce matsakaicin wurin da nauyin abu yake.
2. Ta yaya COG ya bambanta da tsakiyar taro?
   • amsa: Duk da cewa COG da tsakiyar taro suna nufin matsakaicin wurin nauyi da taro bi da bi, suna iya bambanta idan filin nauyi da ke aiki akan abu bai yi daidai ba. Duk da haka, a mafi yawan yanayi na aiki a Duniya, suna da daidaito iri ɗaya.
3. Me yasa fahimtar COG yake da mahimmanci a ƙirar abin hawa?
   • amsa: Wurin da COG yake yana shafar kwanciyar hankalin abin hawa. Ƙarancin COG na iya sa abin hawa ya yi kasa da faɗi kuma gabaɗaya ya fi kwanciyar hankali, musamman a lokacin juyawa ko kuma motsa jiki kwatsam.
4. Ta yaya rarraba nauyi ta hanyoyi daban-daban a cikin abin hawa ko tsari ke shafar tsakiyar nauyi?
   • amsa: Ƙara nauyi a saman gini ko abin hawa zai ƙara yawan COG ɗinsa, wanda hakan zai sa ya zama ƙasa da ƙarfi. Akasin haka, ƙara nauyi a ƙasa ko tushe na iya rage COG, yana ƙara kwanciyar hankali.
5. Idan wani abu ya tsaya cak daga wani wuri, ina COG ɗinsa zai kasance?
   • amsa: COG na abin da aka dakatar zai kwanta kai tsaye a ƙarƙashin wurin dakatarwa, yana daidaita kansa tsaye da wurin dakatarwa saboda ƙarfin nauyi.
6. Shin cibiyar nauyi ta abu za ta iya kasancewa a wajen iyakokin kayan abu?
   • amsa: Eh, ana iya samun COG a wajen ainihin kayan abin. Misali gama gari shine zobe ko silinda mai rami; COG ɗinsa yana tsakiyarsa, yanki ne wanda babu kayan aiki.
7. Me yasa masu tafiya a kan igiya suke amfani da dogayen sanduna?
   • amsa: Dogon sandar yana faɗaɗa faɗin tushensa mai inganci kuma yana rage COG ɗinsa. Duk waɗannan tasirin suna ƙara kwanciyar hankali da daidaito yayin tafiya akan igiya mai ɗaurewa.
8. Ta yaya siffar da rarrabawar taro a cikin wani abu ke tasiri ga COG ɗinsa?
   • amsa: COG koyaushe zai karkata zuwa ga wuraren da ke da babban nauyi. Misali, a cikin abu inda aka tara yawan nauyi a gefe ɗaya, COG zai kusa da wannan ƙarshen.
9. Ta yaya za ku iya tantance COG na wani abu mai faɗi, wanda ba shi da tsari, kamar yanke kwali ta hanyar gwaji?
   • amsa: Hanya ɗaya ita ce a tsayar da abu ta hanyar da'ira sannan a zana layi a tsaye daga inda aka dakatar da shi. Sannan a dakatar da abu daga wani wuri sannan a zana wani layi a tsaye. Wurin da waɗannan layukan suka haɗu shine COG.
10. A cikin ilimin halittar ɗan adam, me yasa COG yake da mahimmanci?

• amsa: Fahimtar COG a cikin mutane yana da matuƙar muhimmanci ga ayyuka kamar tafiya, gudu, da tsalle. Yana shafar daidaitonmu, kwanciyar hankali, da kuma tsarin motsi. COG na ɗan adam yawanci yana kusa da yankin cibiya, amma wannan na iya canzawa tare da yanayin jiki da motsi.