Laʻana o kahi nīnau e hoʻoholo ai i ka vector hopena me ka hoʻohana ʻana i nā vectors component

2 Nā laʻana o nā nīnau no ka hoʻoholo ʻana i ka vector hopena me ka hoʻohana ʻana i nā vectors ʻāpana

1. F₁ = 6 N, F₂ = 10 N. ʻO ka hopena o nā vectors ikaika ʻelua…

Pahana
F_1x =F₁ ka helu 60^o = (6)(0,5) = 3 N (maikaʻi no ka mea aia ia ma ke kuhikuhi x maikaʻi)
F_2x =F₂ ka helu 30^o = (10)(0,5√3) = 5√3 = (5)(1,372) = -8,66 N (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi x maikaʻi ʻole)
F_1y =F₁ hewa 60^o = (6)(0,5√3) = 3√3 = (3)(1,372) = 4,116 N (maikaʻi no ka mea aia ia ma ke kuhikuhi y maikaʻi)
F_2y =F₂ hewa 30^o = (10)(0,5) = -5 N (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi y maikaʻi ʻole)

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

ʻO ka vector hopena he 5,7 N.

2. F₁ = 4 N, F₂ = 4 N, F₃ = 8 N. ʻO ka hopena o nā vectors ikaika ʻekolu…

Pahana
F_1x =F₁ ka helu 60^o = (4)(0,5) = 2 N (maikaʻi no ka mea aia ia ma ke kuhikuhi x maikaʻi)
F_2x = -4 N (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi x maikaʻi ʻole)
F_3x =F₃ ka helu 60^o = (8)(0,5) = 4 N (maikaʻi no ka mea aia ia ma ke kuhikuhi x maikaʻi)
F_1y =F₁ hewa 60^o = (4)(0,5√3) = 2√3 N (maikaʻi no ka mea aia ia ma ke kuhikuhi y maikaʻi)
F_2y = 0
F_3y =F₃ hewa 60^o = (8)(0,5√3) = -4√3 N (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi y maikaʻi ʻole)

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

ʻO ka vector hopena he 4 N.

Nā nīnau no ka hoʻoholo ʻana i ka vector hopena me ka hoʻohana ʻana i nā vectors component

1. F₁ = 6 N, F₂ = 12 N. ʻO ka hopena o nā vectors ikaika ʻelua…
2. F₁ = 10 N, F₂ = 10 N, F₃ = 15 N. ʻO ka hopena o nā vectors ikaika ʻekolu…

[Pelekania : Ke hoʻoponopono nei i nā pilikia vectors - ke hoʻoholo nei i ka hopena o ʻelua vectors me ka hoʻohana ʻana i nā ʻāpana o vector]