Mehlala ea lipotso mabapi le ho fumana likarolo tsa vector

2 Mehlala ea lipotso mabapi le ho fumana likarolo tsa vector

1. Vekthara ea matla F = 20 Newton e etsa sekhutlo sa 30 ^o ho ea ho x-axis e ntle. Fumana likarolo tsa vekthara F ho x-axis (F _x ) le y-axis (F _y ).

Puisano
F_x = F cos 30^o = (20)(cos 30^o) = (20)(0,5√3) = 10√3 Li-Newton
F_y = F sebe 30^o = (20)(sebe sa 30^o) = (20)(0,5) = 10 Newton

2. Vekthara F ₁ = 20 Newton e bopa sekhutlo sa 30 ^o ka mothapo o motle wa y mme F ₂ = 30 Newton e bopa sekhutlo sa 60 ^o ka mothapo o motle wa x. Fumana dikarolo tsa divekthara F ₁ le F ₂ ka mothapong wa x le ka mothapong wa y.

Puisano
F_1x =F₁ Cos 60^o = (20)(cos 60^o) = (20)(0,5) = -10 Newton (e mpe hobane e ka lehlakoreng le lebe la x)
F_2x =F₂ Cos 60^o = (30)(cos 60^o) = (30)(0,5) = -15 Newton (e mpe hobane e ka lehlakoreng le lebe la x)
F_1y =F₁ sebe 60^o = (20)(sebe sa 60^o) = (20)(0,5√3) = 10√3 Newton (e ntle hobane e le ka lehlakoreng le letle la y)
F_2y =F₂ sebe 60^o = (30)(sebe sa 60^o) = (30)(0,5√3) = -15√3 Newton (e mpe hobane e ka lehlakoreng le mpe la y)

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Fumana dikarolo tsa divekthara F ₁ , F ₂ le F ₃ hodima di-axe tsa x le y!

Puisano
F_1x =F₁ Cos 60^o = (2)(cos 60^o) = (2)(0,5) = 1 Newton (e ntle hobane e le ka lehlakoreng le letle la x)
F_2x =F₂ Cos 30^o = (4)(cos 30^o) = (4)(0,5√3) = -2√3 Newton (e mpe hobane e ka lehlakoreng la x le mpe)
F_3x =F₃ Cos 60^o = (6)(cos 60^o) = (6)(0,5) = 3 Newton (e ntle hobane e le ka lehlakoreng le letle la x)
F_1y =F₁ sebe 60^o = (2)(sebe sa 60^o) = (2)(0,5√3) = √3 Newton (e ntle hobane e le ka lehlakoreng le letle la y)
F_2y =F₂ sebe 30^o = (4)(sebe sa 30^o) = (4)(0,5) = 2 Newton (e ntle hobane e le ka lehlakoreng le letle la y)
F_3y =F₃ sebe 60^o = (6)(sebe sa 60^o) = (6)(0,5√3) = -3√3 Newton (e mpe hobane e ka lehlakoreng le mpe la y)

Lipotso mabapi le ho fumana likarolo tsa vector

1. Vekthara ea matla F = 8 Newton e bopa sekhutlo sa 60^o ho ea ho x-axis e ntle. Fumana likarolo tsa vekthara F ho x-axis (F)_x) le mothapo wa y (F_y).
2. Vekthara F₁ = 8 Li-Newton li etsa sekhutlo sa 45^o ho ea ho positive y-axis le F₂ = 10 Li-Newton li etsa sekhutlo sa 30^o ho ea ho x-axis e mpe. Fumana likarolo tsa vector F₁ le F₂ mothating oa x le mothating oa y.
3. F₁ = 4 N, F₂ = 8 N, F₃ = 12 N. Fumana likarolo tsa vekthara F₁, F₂ le F₃ hodima mothapo wa x le mothapo wa y!

[Senyesemane: Ho rarolla mathata a li-vector - ho fumana likarolo tsa li-vector ]