Nā nīnau hoʻohālike no ka hoʻoholo ʻana i nā ʻāpana vector

2 Nā laʻana o nā nīnau no ka hoʻoholo ʻana i nā ʻāpana vector

1. Hoʻokumu ke vector ikaika F = 20 Newton i kahi kihi o 30^o i ka axis-x maikaʻi. E hoʻoholo i nā ʻāpana o ka vector F ma ka axis-x (F_x) a me ke axis-y (F_y).

Pahana
F_x = F cos 30^o = (20)(cos 30^o) = (20)(0,5√3) = 10√3 Newtons
F_y = F hewa 30^o = (20)(hewa 30^o) = (20)(0,5) = 10 Newton

2. Vector F₁ = 20 Hoʻokumu nā Newton i kahi kihi o 30^o i ka axis-y maikaʻi a me F₂ = 30 Hoʻokumu nā Newton i kahi kihi o 60^o i ka axis-x maikaʻi ʻole. E hoʻoholo i nā ʻāpana o ka vector F₁ a me F₂ ma ke axis-x a ma ke axis-y.

Pahana
F_1x =F₁ ka helu 60^o = (20)(cos 60^o) = (20)(0,5) = -10 Newton (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi x maikaʻi ʻole)
F_2x =F₂ ka helu 60^o = (30)(cos 60^o) = (30)(0,5) = -15 Newton (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi x maikaʻi ʻole)
F_1y =F₁ hewa 60^o = (20)(hewa 60^o) = (20)(0,5√3) = 10√3 Newton (maikaʻi no ka mea aia ia ma ke kuhikuhi y maikaʻi)
F_2y =F₂ hewa 60^o = (30)(hewa 60^o) = (30)(0,5√3) = -15√3 Newton (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi y maikaʻi ʻole)

3. F₁ = 2 N, F₂ = 4 N, F₃ = 6 N. E hoʻoholo i nā ʻāpana o ka vector F₁, F₂ a me F₃ ma ke axis-x a me ke axis-y!

Pahana
F_1x =F₁ ka helu 60^o = (2)(cos 60^o) = (2)(0,5) = 1 Newton (maikaʻi no ka mea aia ia ma ke kuhikuhi x maikaʻi)
F_2x =F₂ ka helu 30^o = (4)(cos 30^o) = (4)(0,5√3) = -2√3 Newton (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi x maikaʻi ʻole)
F_3x =F₃ ka helu 60^o = (6)(cos 60^o) = (6)(0,5) = 3 Newton (maikaʻi no ka mea aia ia ma ke kuhikuhi x maikaʻi)
F_1y =F₁ hewa 60^o = (2)(hewa 60^o) = (2)(0,5√3) = √3 Newton (maikaʻi no ka mea aia ia ma ke kuhikuhi y maikaʻi)
F_2y =F₂ hewa 30^o = (4)(hewa 30^o) = (4)(0,5) = 2 Newton (maikaʻi no ka mea aia ia ma ke kuhikuhi y maikaʻi)
F_3y =F₃ hewa 60^o = (6)(hewa 60^o) = (6)(0,5√3) = -3√3 Newton (maikaʻi ʻole no ka mea aia ia ma ke kuhikuhi y maikaʻi ʻole)

Nā nīnau no ka hoʻoholo ʻana i nā ʻāpana vector

1. Hoʻokumu ke vector ikaika F = 8 Newton i kahi kihi o 60^o i ka axis-x maikaʻi. E hoʻoholo i nā ʻāpana o ka vector F ma ka axis-x (F_x) a me ke axis-y (F_y).
2. Vector F₁ = 8 Hoʻokumu nā Newton i kahi kihi o 45^o i ka axis-y maikaʻi a me F₂ = 10 Hoʻokumu nā Newton i kahi kihi o 30^o i ka axis-x maikaʻi ʻole. E hoʻoholo i nā ʻāpana o ka vector F₁ a me F₂ ma ke axis-x a ma ke axis-y.
3. F₁ = 4 N, F₂ = 8 N, F₃ = 12 N. E hoʻoholo i nā ʻāpana o ka vector F₁, F₂ a me F₃ ma ke axis-x a me ke axis-y!

[Pelekania : Ke hoʻoponopono nei i nā pilikia vectors - ke hoʻoholo nei i nā ʻāpana vector]