Mibvunzo yemuenzaniso weVector

Mienzaniso 25 yeMatambudziko eVector

1. Masimba maviri akatarisana, rimwe nerimwe rine hukuru hwe3 N uye 4 N. Hukuru hwemhedzisiro yemasimba maviri aya...
Kukurukurirana
Zvinozivikanwa kuti:
F₁ = 3 N, F₂ = 4N
Mubvunzo: Chii chinoguma nemhedzisiro yemavector maviri aya?
Mhinduro:
Kune mavector maviri chete uye mavector ese ari maviri akatarisana saka mhinduro yacho inoshandisa fomura yePythagorean.
2. Kana hukuru hwevector A = mayuniti mana, inoumba kona ye30^o ne x-axis yakanaka, saka hukuru hwevector mu x-axis ne y-axis hwacho...
Kukurukurirana
Zvinozivikanwa kuti:
A = mayuniti mana, Angle = 30^o
Akabvunzwa: A_x uye A_y ?
Mhinduro:
3. Maveki maviri esimba F₁ uye F₂ imwe neimwe ine hukuru hwe5 N uye 12 N, iine nzvimbo imwechete yekubatana uye yakakombama pakona ye60°, kukosha kwemhedzisiro yemavector maviri aya...
Kukurukurirana
Zvinozivikanwa kuti:
F₁ = 5 N, F₂ = 12 N, kona = 60^o
Mubvunzo: Chii chinoguma nemhedzisiro yemavector maviri aya?
Mhinduro:
Kune mavector maviri chete uye mavector maviri aya haana kuenzana (ari pakona ye60° kune mumwe nemumwe).^o) saka mhinduro yedambudziko iri inoshandisa fomura yecosine.
4. mukati₁ = mayuniti makumi mashanu uye v₂ = mayuniti makumi mashanu. Vekitari inobuda yakakura sei?

Kukurukurirana
Kuverenga vhekitari yechikamu:
v_1x =v₁ kusvika 30^o = (20)(½√3) = -10√3
v_1y =v₁ pasina 30^o = (20)(½) = 10
v_2x =v₂ kusvika 30^o = (20)(½√3) = 10√3
v_2y =v₂ pasina 30^o = (20)(½) = 10

v_x =v₁x + v₂x = -10√3 + 10√3 = 0
v_y =v₁y + v₂y = 10 + 10 = 20

Tsananguro: v _1x iri negative nekuti divi ra v _1x riri kuruboshwe, riri munzira ye x-axis isina kunaka. v _2x iri negative nekuti divi riri kurudyi kana kuti riri munzira ye x-axis ine positive. v _1y na v _2y vari negative nekuti divi riri kumusoro munzira ye y-axis ine positive. Kuti uwane divi re vector yega yega uye kana vector ye component iri positive kana kuti negative, dhirowa component vector pa x-axis ne y-axis sezvakaratidzwa mumuenzaniso wemubvunzo nhamba 2.

Kuverenga vhekitori inobuda:
Hukuru hwevector inobuda mayuniti makumi maviri

5. Mwana anomhanya 80 m kuchamhembe, ozotendeuka 80 m kumabvazuva uye 20 m kuchamhembe. Kukura kwekutama kwakaitwa nemwana uyu...

A. 60 m
B. 80 m
C. 100 m
D. 120 m
E. 180 m

Kukurukurirana

Vekitari yekudzinga

Shandisa fomura yePythagorean:
Kuchamhembe kwakadziva kumabvazuva
Mhinduro chaiyo ndiC

6. Budi anofamba mamita matanhatu kumabvazuva, wozobva afamba mamita matanhatu kumaodzanyemba, uye mamita maviri kumabvazuva. Kufamba kwaBudi kubva panzvimbo yake yekutanga kwave...

A. 20 m
B. 14 m
C. 12 m
D. 10 m
E. 8 m

Kukurukurirana

Shandisa fomura yePythagorean:

Kutungamira kumaodzanyemba kwakadziva kumabvazuva
Mhinduro chaiyo ndiD.

7.

Mhedzisiro yemasimba matatu ari pamufananidzo uri padivi ndeiyi…

A. 24 N
B. 16 N
C. 12 N
D. 10 N
E. 4 N

Kukurukurirana
Zvinozivikanwa :
F₁ = 20 Newton, Angle iri pakati peF₁ uye x-axis = 0
F₂ = 20 Newton, Angle iri pakati peF₂ uye x-axis = 60
F₃ = 24 Newton, Angle iri pakati peF₃ uye x-axis = 60
Akabvunzwa : Mhedzisiro yemasimba matatu (F)₁, F₂ uye F₃)
Jawab :

Zvikamu zve force vector pa x na y axes
F_1x = (F)₁)(cos 0) = (20)(1) = 20. Yakanaka nekuti iri munzira imwechete ne axis x zvakanaka (kurudyi)
F_1y = (F)₁)(chivi 0) = (20)(0) = 0
F_2x = (F)₂)(cos 60) = (20)(0,5) = -10. Negative nekuti iri munzira imwechete ne axis x negative (kuruboshwe)
F_2y = (F)₂)(chivi 60) = (20)(0,5√3) = 10√3. Yakanaka nekuti iri munzira imwechete ne axis y zvakanaka (zviri pamusoro)
F_3x = (F)₃)(cos 60) = (24)(0,5) = -12. Negative nekuti iri munzira imwechete ne axis x negative (kuruboshwe)
F_3y = (F)₃)(chivi 60) = (24)(0,5√3) = -12√3. Negative nekuti iri munzira imwe chete ne axis y negative (pasi)
Zvinobva pazvikamu zvesimba revector pa x na y axes
F_x =F_1x - F_2x - F_3x = 20 – 10 – 12 = -2
F_y =F_1y +F_2y - F_3y = 0 + 10√3 – 12√3 = -2√3
Mhedzisiro yechitatu huwandu hwevector gaya
Mhinduro chaiyo ndiE.

8.

Vekitari yesimba F₁, F₂, uye F₃ iri padhayagiramu yeCartesian sezvakaratidzwa mumufananidzo:
Mhedzisiro yezviratidzo zvitatu izvi ndeyekuti…

A. √26 N
B. √76 N
C. √84 N
D. √168 N
E. √204 N

Kukurukurirana
Zvinozivikanwa :
F₁ = 12 Newton, Angle iri pakati peF₁ uye x-axis = 30
F₂ = 10 Newton, Angle iri pakati peF₂ uye x-axis = 90
F₃ = 8 Newton, Angle iri pakati peF₃ uye x-axis = 30
Akabvunzwa : Mhedzisiro yemaveki matatu esimba (F)₁, F₂ uye F₃)
Jawab :
Zvikamu zve force vector pa x na y axes
F_1x = (F)₁)(cos 30) = (12)(0,5√3) = 6√3. Yakanaka nekuti iri munzira imwechete ne axis x zvakanaka (kurudyi)
F_1y = (F)₁)(chivi 30) = (12)(0,5) = 6. Yakanaka nekuti iri munzira imwechete ne axis y zvakanaka (zviri pamusoro)
F_2x = (F)₂)(cos 90) = (10)(0) = 0.
F_2y = (F)₂)(chivi 90) = (10)(1) = -10. Kuramba nekuti kuri munzira imwe chete ne axis y negative (pasi)
F_3x = (F)₃)(cos 30) = (8)(0,5√3) = -4√3. Negative nekuti iri munzira imwe chete ne axis x negative (kuruboshwe)
F_3y = (F)₃)(chivi 30) = (8)(0,5) = -4. Kuramba nekuti kuri munzira imwe chete ne axis y negative (pasi)
Zvinobva pazvikamu zvesimba revector pa x na y axes
F_x =F_1x +F_2x - F_3x = 6√3 + 0 – 4√3 = 2√3
F_y =F_1y - F_2y - F_3y = 6 – 10 – 4 = -8
Mhedzisiro yemasimba matatu evectors
Mhinduro chaiyo ndeiyi B.

9. Tarisa mufananidzo uri padivi. Hukuru hwemhedzisiro yemasimba matatu aya…
A. 0
B. 2√3 N
C. 4√3 N
D. 8√3 N
E. 12√3 N
Kukurukurirana
Zvinozivikanwa :
F₁ = 4 Newton, Angle iri pakati peF₁ uye x-axis = 30
F₂ = 6√3 Newton, Angle iri pakati peF₂ uye x-axis = 0
F₃ = 2 Newton, Angle iri pakati peF₃ uye x-axis = 90
Akabvunzwa : Hukuru hwemhedzisiro yemasimba matatu (F)₁, F₂ uye F₃)
Jawab :
Zvikamu zve force vector pa x na y axes
F_1x = (F)₁)(cos 30) = (4)(0,5√3) = 2√3. Yakanaka nekuti iri munzira imwechete ne axis x zvakanaka (kurudyi)
F_1y = (F)₁)(chivi 30) = (4)(0,5) = 2. Yakanaka nekuti iri munzira imwechete ne axis y zvakanaka (zviri pamusoro)
F_2x = (F)₂)(cos 0) = (6√3)(1) = -6√3. Negative nekuti iri munzira imwe chete ne axis x negative (kuruboshwe)
F_2y = (F)₂)(chivi 0) = (6√3)(0) = 0.
F_3x = (F)₃)(cos 90) = (2)(0) = 0.
F_3y = (F)₃)(chivi 90) = (2)(1) = -2. Kuramba nekuti kuri munzira imwe chete ne axis y negative (pasi)
Zvinobva pazvikamu zvesimba revector pa x na y axes
F_x =F_1x - F_2x +F_3x = 2√3 – 6√3 + 0 = -4√3
F_y =F_1y +F_2y - F_3y = 2 + 0 – 2 = 0
Mhedzisiro yemasimba matatu evectors
Mhinduro chaiyo ndiC.

10. Mwana anofamba akananga mamita gumi kumadokero, ozotendeukira kumaodzanyemba kwemamita mana, ozotendeukira kumabvazuva zvakare kwemamita gumi nematatu. Kufamba kwemwana kubva panzvimbo yake yekutanga kuri...
A. 4 mamita kumaodzanyemba kwakadziva kumadokero
B. mamita mashanu kumaodzanyemba
C. 5 mamita kumaodzanyemba kwakadziva kumabvazuva
D. 10 mamita kumabvazuva
E. 10 mamita kumaodzanyemba kwakadziva kumabvazuva

Kukurukurirana

Mhinduro chaiyo ndiC.

11. Mhedzisiro yemasimba matatu ari pamufananidzo uri padivi ndeiyi…

A. 1,0 N
B. 1,5 N
C. 1,9 N
D. 2,0 N
E. 2,3 N
Kukurukurirana
Verenga hukuru hwevekitari yechikamu chimwe nechimwe:
F_1x = 10N
F_1y = 0
F_2x = -10 cos 60 = – (10)(0,5) = – 5 N
F_2y = 10 chivi 60 = (10)(0,87) = 8,7 N
F_3x = -12 cos 60 = – (12)(0,5) = – 6 N
F_3y = -12 chivi 60 = – (12)(0,87) = – 10,4 N
Sarudza vhekitori inobuda:

12. Maveki matatu ane pfungwa inonakidza anoratidzwa mumufananidzo. Hukuru hweveki yega yega ndeiyi:
|V₁ | = mayuniti makumi mana
|V₂ | = mayuniti makumi mana
|V₃ | = mayuniti makumi mana
Hukuru hwemhedzisiro yezviratidzo zvitatu izvi...
A. mayuniti makumi matatu
B. 40 mayuniti
C. 50 mayuniti
D. 90 mayuniti
E. 110 mayuniti
Kukurukurirana
Zvinozivikanwa kuti:
V₁ = 30, Angle iri pakati paV₁ uye x-axis = 30^o
V₂ = 30, Angle iri pakati paV₂ uye x-axis = 30^o
V₃ = 40, Angle iri pakati paV₃ uye x-axis = 0^o
Mubvunzo: Mhedzisiro yemavector matatu (V)₁, V₂ uye V₃)
Mhinduro:
Zvikamu zve force vector pa x na y axes
V_1x = (V₁)(cos 30^o) = (30)(0,5√3) = 15√3. Yakanaka nekuti iri munzira imwechete ne x-axis yakanaka (kurudyi)
V_1y = (V₁(chivi 30)^o) = (30)(0,5) = 15. Yakanaka nekuti iri munzira imwechete neyakanaka y-axis (kumusoro)
V_2x = (V₂)(cos 30^o) = (30)(0,5√3) = -15√3. Negative nekuti iri munzira imwe chete ne negative x-axis (kuruboshwe)
V_2y = (V₂(chivi 30)^o) = (30)(0,5) = 15. Yakanaka nekuti iri munzira imwechete neyakanaka y-axis (kumusoro)
V_3x = (V₃)(cos 0^o) = (40)(1) = 40. Yakanaka nekuti iri munzira imwechete ne x-axis yakanaka (kurudyi)
V_3y = (V₃(chivi 0)^o) = (40)(0) = 0

13. Masimba maviri (nzvimbo yekubata) akatarisana, hukuru hwawo hwakasiyana ndi12 N uye 5 N. Hukuru hwemhedzisiro yemasimba maviri aya…
A. 17 N
B. 15 N
C. 13 N
D. 9 N
E. 7 N
Kukurukurirana
Zvinozivikanwa kuti:
Chimiro 1 (F)₁) = 12 Newton
Chimiro 2 (F)₂) = 5 Newton
Zvinodiwa: Mhedzisiro yemasimba ese ari maviri (ΣF)
Mhinduro:
Masimba maviri aya akatarisana saka simba rinobuda rinoverengwa uchishandisa fomura yePythagorean.

14. Maveki matatu ane pfungwa yekufadza anoratidzwa mumufananidzo unotevera. Hukuru hweveki yega yega ndeiyi:
|V₁| = mayuniti makumi mana
|V₂| = mayuniti makumi mana
|V₃| = mayuniti makumi mana
Hukuru hwemhedzisiro yezviratidzo zvitatu izvi...
A. mayuniti makumi matatu
B. 40 mayuniti
C. 50 mayuniti
D. 90 mayuniti
E. 110 mayuniti
Kukurukurirana
Zvinozivikanwa kuti:
v₁ = mayuniti makumi mana, zvichigadzira kona ye30^o kune x-axis isina kunaka.
v₂ = mayuniti makumi mana, zvichigadzira kona ye30^o kune x-axis yakanaka.
v₃ = mayuniti makumi mana, zvichigadzira kona ye0^o kune x-axis yakanaka.
Akabvunzwa: Vector yemhedzisiro
Mhinduro:
Verenga zvikamu zvevector:
v_1x =v₁ kusvika 30^o = (30)(0,5√3) = -15√3 (chiratidzo chekusaratidza kuti chiri munzira imwe chete nex-axis yekusaratidza kuti chiri munzira imwe chete)
v_1y =v₁ pasina 30^o = (30)(0,5) = 15 (chiratidzo chakanaka nekuti chiri munzira imwechete neyakanaka y-axis)
v_2x =v₂ kusvika 30^o = (30)(0,5√3) = 15√3 (chiratidzo chakanaka nekuti chiri munzira imwechete ne x-axis yakanaka)
v_2y =v₂ pasina 30^o = (30)(0,5) = 15 (chiratidzo chakanaka nekuti chiri munzira imwechete neyakanaka y-axis)
v_3x =v₃ kusvika 0^o = (40)(1) = 40 (chiratidzo chakanaka nekuti chiri munzira imwechete ne x-axis yakanaka)
v_3y =v₃ pasina 0^o = (40)(0) = 0

15. Mhedzisiro yemasimba matatu ari mumufananidzo uri pazasi ndeiyi...
A. 0 N
B. 2 N
C. 2√3 N
D. 3 N
E. 3√3 N
Kukurukurirana
Zvinozivikanwa kuti:
F₁ = 3 Newtons vanoumba kona ye60^o kune x-axis yakanaka
F₂ = 3 Newtons vanoumba kona ye0^o kune x-axis isina kunaka
F₃ = 6 Newtons vanoumba kona ye60^o kune negative y-axis
Akabvunzwa: Simba rinobuda
Mhinduro:
Verenga vhekitari yechikamu:
F_1x =F₁ kusvika 60^o = (3)(0,5) = 1,5 N (chiratidzo chakanaka nekuti chiri munzira ye x-axis yakanaka)
F_1y =F₁ pasina 60^o = (3)(0,5√3) = 1,5√3 N (chiratidzo chakanaka nekuti chiri munzira ye y-axis yakanaka)
F_2x =F₂ kusvika 0^o = (3)(1) = -3 N (chiratidzo chekusaratidza kuti chiri munzira ye x-axis isina kunaka)
F_2y =F₂ pasina 0^o = (3)(0) = 0
F_3x =F₃ kusvika 60^o = (6)(0,5) = 3 N (chiratidzo chakanaka nekuti chiri munzira ye x-axis yakanaka)
F_3y =F₃ pasina 60^o = (6)(0,5√3) = -3√3 N (chiratidzo chekusaratidza nekuti chiri munzira ye-y-axis isina kunaka)

16. Maveki maviri esimba F₁ uye F₂ imwe neimwe ine hukuru hwe15 N uye 9 N, iine nzvimbo imwechete yekubatana uye yakakombama pakona ye60°, kukosha kwemhedzisiro yemavector maviri aya...
A. 15 N
B. 20 N
C. 21 N
D. 24 N
E. 30 N
Kukurukurirana
Zvinozivikanwa kuti:
Chimiro 1 (F)₁) = 15 Newton
Chimiro 2 (F)₂) = 9 Newton
Angle (θ) = 60^o
Mubvunzo: Mhedzisiro yezviratidzo zviviri
Mhinduro:
Kune mavector maviri anoumba kona ye60^o kuitira kuti vhekitari inobuda iverengerwe uchishandisa fomura yecosine:

17. Mhedzisiro yemasimba matatu ari pamufananidzo uri padivi ndeiyi…
A. 24 N
B. 16 N
C. 12 N
D. 10 N
E. 4 N
Kukurukurirana
Zvinozivikanwa kuti:
F₁ = 20 Newton, Angle iri pakati peF₁ uye x-axis = 0
F₂ = 20 Newton, Angle iri pakati peF₂ uye x-axis = 60
F₃ = 24 Newton, Angle iri pakati peF₃ uye x-axis = 60
Mubvunzo: Mhedzisiro yemasimba matatu (F)₁, F₂ uye F₃)
Mhinduro:
Zvikamu zve force vector pa x na y axes
F_1x = (F)₁)(cos 0) = (20)(1) = 20. Yakanaka nekuti iri munzira imwechete ne x-axis yakanaka (kurudyi)
F_1y = (F)₁)(chivi 0) = (20)(0) = 0
F_2x = (F)₂)(cos 60) = (20)(0,5) = -10. Negative nekuti iri munzira imwechete ne negative x-axis (kuruboshwe)
F_2y = (F)₂)(chivi 60) = (20)(0,5√3) = 10√3. Yakanaka nekuti iri munzira imwechete neyakanaka y-axis (kumusoro)
F_3x = (F)₃)(cos 60) = (24)(0,5) = -12. Negative nekuti iri munzira imwechete ne negative x-axis (kuruboshwe)
F_3y = (F)₃)(chivi 60) = (24)(0,5√3) = -12√3. Negative nekuti iri munzira imwechete ne negative y-axis (ichidzika pasi)

18. Chinhu chinofamba kubva paE kuenda paF chopera paG. Mufananidzo uri pazasi, unoratidza kuchinjika kwemayuniti gumi, uri...

Kukurukurirana

Nzvimbo dzinobatanidza E = x, y = 1, 1

Nzvimbo dzinobatanidza zvinhu F = x, y = 9, 1

Nzvimbo dzinobatanidza G = x, y = 9, 7

Kureba kweEF = 9-1 = 8

Kureba kweFG = 7-1 = 6

Kureba kweEG =

Mhinduro chaiyo ndiA.

19. Munhu anofamba nemotokari kubva panzvimbo A kuenda kuB, makiromita makumi matatu kuchamhembe, ozoenderera mberi kuenda kuC, makiromita makumi matanhatu kumabvazuva, ozosvika muguta D, makiromita zana negumi kumaodzanyemba. Kufamba kwemotokari kubva kuA kuenda kuD kuri...

A. 200 km

B. 140 km

Nzvimbo yeC. 120 km

D. 100 km

E. 80 km

Kukurukurirana

AA' = 60 km

A'D = 110 km - 30 km = 80 km

Mhinduro chaiyo ndiD.

20. Andi anofamba nemotokari kubva muguta A kuchamhembe akananga kuguta B kwemakiromita zana, ozoenderera mberi nerwendo rwake kuenda kuguta C kumabvazuva kwemakiromita makumi matanhatu, ozobva azofamba akananga kumaodzanyemba kuguta D kwemakiromita makumi maviri. Kufamba kwemotokari kuri...

A. 10 km

B. 20 km

Nzvimbo yeC. 80 km

D. 100 km

E. 180 km

Kukurukurirana

D'D = 60 km

AD' = 100 km - 20 km = 80 km

Mhinduro chaiyo ndiD.

21. Pamutambo we "City Marathon Festival" muna Gumiguru 2014 muJakarta, paive nemapoka mana ekumhanya, anoti chikamu chemarathon yakazara (42 km), chikamu chehafu marathon (21 km), chikamu chemakiromita gumi uye chikamu chemakiromita mashanu apo nzira yechikamu chimwe nechimwe yakanga yasarudzwa. Mujaho uyu wemarathon wakatangira pachivakwa cheBung Karno Gelora ndokuzopera paMonas. Mumwe wevatori vechikamu vemujaho anonzi Andri akatora chikamu mumujaho wemarathon yakazara uye akakwanisa kungofukidza nzira kubva pamapoinzi A, B, naC sezvakaratidzwa pamufananidzo 2.

Kana bhokisi rimwe richimiririra 1 km, zvinoreva kuti kufamba kwese kwakaitwa naAndri…

A. 26 km

B. 20 km

Nzvimbo yeC. 12 km

D. 10 km

E. 8 km

Kukurukurirana

Kureba kwerutivi rwezasi = 8 km, kureba kwerutivi rwepamberi = 6 km.

Uchishandisa fomura yePythagorean, Kutama = R = 10 km

Mhinduro chaiyo ndiD.

22. Munhu anofamba nemotokari kubva panzvimbo A kuenda kuB, makiromita makumi matatu kuchamhembe, ozoenderera mberi kuenda kuC, makiromita makumi matanhatu kumabvazuva, ozosvika muguta D, makiromita zana negumi kumaodzanyemba. Kufamba kwemotokari kubva kuA kuenda kuD kuri...

A. 200 km

B. 140 km

Nzvimbo yeC. 120 km

D. 100 km

E. 80 km

Kukurukurirana

AA' = 60 km

A'D = 110 km - 30 km = 80 km

Mhinduro chaiyo ndiD.

23. Andi anofamba nemotokari kubva muguta A kuchamhembe akananga kuguta B kwemakiromita zana, ozoenderera mberi nerwendo rwake kuenda kuguta C kumabvazuva kwemakiromita makumi matanhatu, ozobva azofamba akananga kumaodzanyemba kuguta D kwemakiromita makumi maviri. Kufamba kwemotokari kuri...

A. 10 km

B. 20 km

Nzvimbo yeC. 80 km

D. 100 km

E. 180 km

Kukurukurirana

D'D = 60 km

AD' = 100 km - 20 km = 80 km

Mhinduro chaiyo ndiD.

Vekitari yeYuniti

24. Mibvunzo yebvunzo yenyika ya2000/2001
Chinhu chakanga chiri panzvimbo yekunongedzera pakutanga chinofamba ne speed v = (2i − 1,5j) ms^-1Mushure mekufamba kwemasekonzi mana, chinhu chacho chafamba chinhambwe che…
A. 2 m
B. 10 m
C. 12 m
D. 14 m
E. 25 m
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya munzira yakatwasuka (v)_x) = 2 m/s
Kumhanya munzira yakatwasuka (v)_y) = 1,5 m/s
Nguva yepakati (t) = masekondi maviri
Akabvunzwa: Kutamiswa kwezvinhu
Mhinduro:
Verenga kumhanya kwechinhu (v) kunobuda:

25. Mibvunzo yebvunzo dzenyika dze2007/2008 P4 Nhamba 3
Vekitori F₁ = 14 N uye F₂ = 10 N inoiswa padhayagiramu yeCartesian sezvakaratidzwa pamufananidzo. Vector inobuda kana ikaratidzwa muvector dzeyuniti R = i + j ndiyo….
A. 7i + 10√3 j
B. 7i + 10j
C. 3i + 7√3 j
D. 3i + 10j
E. 3i + 7j
Kukurukurirana
Kuverenga vhekitari yechikamu:
F_1x = (F)₁)(cos 60^o) = (14)(0,5) = -7 N (chiratidzo chekusaratidza nekuti chiri munzira yekusaratidza x)
F_1y = (F)₁(chivi 60)^o) = (14)(0,5√3) = 7√3 N (chiratidzo chakanaka nekuti chiri munzira yakanaka y)
F_2x = 10N
F_2y = 0
Kuverenga vhekitori yechikamu chinobuda:
F_x =F_1x +F_2x +F_3x = -7 + 10 = 3 N
F_y =F_1y +F_2y +F_3y = 7√3 + 0 = 7√3 N
Vekitari inobuda kana yakaratidzwa muvekitari dzeyuniti:
R = 3 i + 7√3 j
Mhinduro chaiyo ndiC.

 

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa

Mibvunzo yeVector
1. Masimba maviri akatarisana, hukuru hwawo hwakasiyana ndi5 N uye 12 N. Hukuru hwemhedzisiro yemasimba maviri aya ndi … (Mhinduro: 13 N)
2. Kana hukuru hwevector B = mayuniti gumi, inoumba kona ye60^o ne x-axis yakanaka, ipapo hukuru hwevector mu x-axis ne y-axis hunonzi … (Mhinduro: B_x = 5 , B_y = 5√3 )
3. Maveki maviri esimba F₁ uye F₂ imwe neimwe ine 3 N uye 4 N muhukuru, ine nzvimbo imwechete yekubata uye yakakomberedzwa nekona ye60°, kukosha kwemhedzisiro yemavector maviri aya... (Mhinduro: F = √37 N)
4. mukati₁ = mayuniti makumi mashanu uye v₂ = mayuniti makumi mashanu. Vekitari inobuda yakakura sei?

(Mhinduro: v = 50√Zvikamu zviviri)
5. Mwana anofamba akananga mamita 80 kuenda kuchamhembe, ozotendeukira kumabvazuva kwemamita 80, ozotendeukira kumaodzanyemba zvakare kwemamita 20. Kufamba kunoita mwana kubva panzvimbo yake yekutanga ndiko….
(Mhinduro: 100 metres, kuchamhembe kwakadziva kumabvazuva)
6. Mhedzisiro yemasimba matatu ari mumufananidzo uri pazasi ndeiyi...
(Mhinduro: 6 N)