Misalan tambayoyi kan tantance sassan vector

2 Misalan tambayoyi kan tantance sassan vector

1. Ƙarfin vector F = 20 Newton yana samar da kusurwar 30 ^o zuwa ga axis ɗin x mai kyau. Ƙayyade abubuwan da ke cikin vector F akan axis ɗin x (F _x ) da axis ɗin y (F _y ).

Tattaunawa
F_x = F cos 30^o = (20)(kwas 30)^o) = (20)(0,5√3) = 10√3 Newtons
F_y = F zunubi 30^o = (20)(zunubi 30^o) = (20)(0,5) = 10 Newtons

2. Vector F ₁ = 20 Newton yana samar da kusurwar 30 ^o tare da y-axis mai kyau kuma F ₂ = 30 Newton yana samar da kusurwar 60 ^o tare da y-axis mara kyau. Kayyade abubuwan da ke cikin vectors F ₁ da F ₂ akan y-axis da kuma akan y-axis.

Tattaunawa
F_1x = F₁ kowa 60^o = (20)(kwas 60)^o) = (20)(0,5) = -10 Newton (mara kyau saboda yana cikin alkiblar x mara kyau)
F_2x = F₂ kowa 60^o = (30)(kwas 60)^o) = (30)(0,5) = -15 Newton (mara kyau saboda yana cikin alkiblar x mara kyau)
F_1y = F₁ ba 60^o = (20)(zunubi 60^o) = (20)(0,5√3) = 10√3 Newton (positive saboda yana kan alkiblar y mai kyau)
F_2y = F₂ ba 60^o = (30)(zunubi 60^o) = (30)(0,5√3) = -15√3 Newton (mara kyau saboda yana kan hanyar y mara kyau)

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Kayyade abubuwan da ke cikin vectors F ₁ , F ₂ da F ₃ akan gatari x da y!

Tattaunawa
F_1x = F₁ kowa 60^o = (2)(kwas 60)^o) = (2)(0,5) = 1 Newton (positive saboda yana kan alkiblar x mai kyau)
F_2x = F₂ kowa 30^o = (4)(kwas 30)^o) = (4)(0,5√3) = -2√3 Newton (mara kyau saboda yana cikin alkiblar x mara kyau)
F_3x = F₃ kowa 60^o = (6)(kwas 60)^o) = (6)(0,5) = 3 Newton (positive saboda yana kan alkiblar x mai kyau)
F_1y = F₁ ba 60^o = (2)(zunubi 60^o) = (2)(0,5√3) = √3 Newton (positive saboda yana kan alkiblar y mai kyau)
F_2y = F₂ ba 30^o = (4)(zunubi 30^o) = (4)(0,5) = 2 Newton (positive saboda yana kan alkiblar y mai kyau)
F_3y = F₃ ba 60^o = (6)(zunubi 60^o) = (6)(0,5√3) = -3√3 Newton (mara kyau saboda yana kan hanyar y mara kyau)

Tambayoyi kan tantance sassan vector

1. Ƙarfin vector F = 8 Newton yana samar da kusurwar 60^o zuwa ga axis ɗin x mai kyau. Ƙayyade abubuwan da ke cikin vector F akan axis ɗin x (F)_x) da kuma axis na y (F_y).
2. Vector F₁ = 8 Newtons suna samar da kusurwar 45^o zuwa ga axis mai kyau na y da F₂ = 10 Newtons suna samar da kusurwar 30^o zuwa ga axis ɗin x mara kyau. Ƙayyade abubuwan da ke cikin vector F₁ da kuma F₂ a kan axis na x da kuma axis na y.
3. F₁ = 4 N, F₂ = 8 N, F₃ = 12 N. Tantance abubuwan da ke cikin vector F₁, F₂ da kuma F₃ a kan axis na x da axis na y!

[Turanci: Magance matsalolin vectors - tantance sassan vector ]