Komponent vektorlari yordamida natijaviy vektorni aniqlash uchun savolga misol

2 Komponent vektorlari yordamida natijaviy vektorni aniqlash bo'yicha savollarga misollar

1. F.₁ = 6 N, F₂ = 10 N. Ikki kuch vektorining natijasi…

Munozara
F_1x =F₁ cos 60^o = (6)(0,5) = 3 N (musbat, chunki u musbat x yo'nalishida)
F_2x =F₂ cos 30^o = (10)(0,5√3) = 5√3 = (5)(1,372) = -8,66 N (manfiy, chunki u manfiy x yo'nalishida)
F_1y =F₁ gunoh 60^o = (6)(0,5√3) = 3√3 = (3)(1,372) = 4,116 N (musbat, chunki u musbat y yo'nalishida)
F_2y =F₂ gunoh 30^o = (10)(0,5) = -5 N (manfiy, chunki u manfiy y yo'nalishida)

F_x =F_1x - F_2x = 3 – 8,66 = -5,66 N
F_y =F_1y - F_2y  = 4,116 – 5 = -0,884 N

Olingan vektor 5,7 N ga teng.

2. F.₁ = 4 N, F₂ = 4 N, F₃ = 8 N. Uchta kuch vektorining natijasi…

Munozara
F_1x =F₁ cos 60^o = (4)(0,5) = 2 N (musbat, chunki u musbat x yo'nalishida)
F_2x = -4 N (manfiy, chunki u manfiy x yo'nalishida)
F_3x =F₃ cos 60^o = (8)(0,5) = 4 N (musbat, chunki u musbat x yo'nalishida)
F_1y =F₁ gunoh 60^o = (4)(0,5√3) = 2√3 N (musbat, chunki u musbat y yo'nalishida)
F_2y = 0
F_3y =F₃ gunoh 60^o = (8)(0,5√3) = -4√3 N (manfiy, chunki u manfiy y yo'nalishida)

F_x =F_1x - F_2x + F._3x = 2 – 4 + 4 = 2 N
F_y =F_1y + F._2y  - F_3y = 2√3 + 0 – 4√3 = -2√3 N

Olingan vektor 4 N ga teng.

Komponent vektorlari yordamida natijaviy vektorni aniqlash bo'yicha savollar

1. F.₁ = 6 N, F₂ = 12 N. Ikki kuch vektorining natijasi…
2. F.₁ = 10 N, F₂ = 10 N, F₃ = 15 N. Uchta kuch vektorining natijasi…

[Inglizcha: Vektorli masalalarni yechish – vektor komponentlaridan foydalanib, ikkita vektorning natijaviy qiymatini aniqlash]