Fa'ata'ita'iga o se fesili e fuafua ai le vector taunuuga e fa'aaoga ai vectors vaega

2 Faʻataʻitaʻiga o fesili i le fuafuaina o le vector taunuuga e faʻaaoga ai vectors vaega

1. F₁ = 6 N, F₂ = 10 N. O le taunuuga o vectors malosiaga e lua o le…

Talanoaga
F_1x =F₁ cos 60^o = (6)(0,5) = 3 N (lelei auā o loʻo i le itu lelei x)
F_2x =F₂ cos 30^o = (10)(0,5√3) = 5√3 = (5)(1,372) = -8,66 N (leaga auā o loʻo i le itu leaga x)
F_1y =F₁ agasala 60^o = (6)(0,5√3) = 3√3 = (3)(1,372) = 4,116 N (lelei auā o loʻo i le itu lelei y)
F_2y =F₂ agasala 30^o = (10)(0,5) = -5 N (leaga auā o loʻo i le itu leaga y)

F_x =F_1x F._2x = 3 – 8,66 = -5,66 N
F_y =F_1y F._2y  = 4,116 – 5 = -0,884 N

O le vector e maua mai ai e 5,7 N.

2. F₁ = 4 N, F₂ = 4 N, F₃ = 8 N. O le taunuuga o vectors malosi e tolu o le…

Talanoaga
F_1x =F₁ cos 60^o = (4)(0,5) = 2 N (lelei auā o loʻo i le itu lelei x)
F_2x = -4 N (leaga auā o loʻo i le itu leaga x)
F_3x =F₃ cos 60^o = (8)(0,5) = 4 N (lelei auā o loʻo i le itu lelei x)
F_1y =F₁ agasala 60^o = (4)(0,5√3) = 2√3 N (lelei auā o loʻo i le itu lelei y)
F_2y = 0
F_3y =F₃ agasala 60^o = (8)(0,5√3) = -4√3 N (leaga auā o loʻo i le itu leaga y)

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

O le vector e maua mai ai e 4 N.

Fesili i le fuafuaina o le vector taunuuga e faʻaaoga ai vectors vaega

1. F₁ = 6 N, F₂ = 12 N. O le taunuuga o vectors malosiaga e lua o le…
2. F₁ = 10 N, F₂ = 10 N, F₃ = 15 N. O le taunuuga o vectors malosi e tolu o le…

[Igilisi : Foia o faʻafitauli o vectors - fuafuaina o taunuuga o vectors e lua e faʻaaoga ai vaega o vectors]