Fumana likarolo tsa vector

Mathata a rarollotsoeng ho li-vector - fumana likarolo tsa vector

1. Matla a 20 Newton o etsa sekhutlo sa 30 ^o ka x-axis. Fumana dikarolo tsa x le y tsa matla.

tharollo

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 30 ^o ) = (20)(0.5) = 10 Newtons

[irp]

2. F ₁ = 20 Newton o etsa sekhutlo sa 30 ^o ka mothapo wa y mme F ₂ = 30 Newton o etsa sekhutlo sa 60 ^o ka mothapo wa -x. Fumana dikarolo tsa x le y tsa F ₁ le F ₂.

tharollo

F _1x = F ₁ cos 60 ^o = (20)(cos 60 ^o ) = (20)(0.5) = -10 Newtons (e mpe hobane e na le tataiso e tšoanang le -x axis)

F _2x = F ₂ cos 60 ^o = (30)(cos 60 ^o ) = (30)(0.5) = -15 Newtons (e mpe hobane e na le tataiso e tšoanang le -x axis)

F_1y =F₁ ntle 60^o = (20)(sebe sa 60^o) = (20)(0.5√3= 10√3 Newton (e ntle hobane e na le tataiso e tšoanang le ea axis ea y)

F_2y =F₂ ntle 60^o = (30)(sebe sa 60^o) = (30)(0.5√3) = -15√3 Newton (e mpe hobane e na le tataiso e tšoanang le -y axis)

[irp]

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Fumana dikarolo tsa x le y tsa F ₁ , F ₂ le F ₃!

tharollo

F _1x = F ₁ cos 60 ^o = (2)(cos 60 ^o ) = (2)(0.5) = 1 Newtons (e ntle hobane e na le tataiso e tšoanang le x axis)

F_2x =F₂ cos 30^o = (4)(cos 30^o) = (4)(0.5√3) = -2√3 Newton (e mpe hobane e na le tsela e tšoanang le -x axis)

F _3x = F ₃ cos 60 ^o = (6)(cos 60 ^o ) = (6)(0.5) = 3 Newtons (e ntle hobane e na le tataiso e tšoanang le x axis)

F_1y =F₁ ntle 60^o = (2)(sebe sa 60^o) = (2)(0.5√3) = √3 Newton (e ntle hobane e na le tataiso e tšoanang le ea axis ea y)

F _{2 y} = F ₂ sin 3 0 ^o = (4)(sin 30 ^o ) = (4)(0.5) = 2 Newtons (e ntle hobane e na le tataiso e tšoanang le mothapo oa y)

F_3y =F₃ ntle 60^o = (6)(sebe sa 60^o) = (6)(0.5√3) = -3√3 Newton (e mpe hobane e na le tsela e tšoanang le -y axis)

[irp]

[ID ea sephutheloana sa wpdm='542′]

[ID ea sephutheloana sa wpdm='554′]

1. Fumana sephetho sa vekthareng ea mola
2. Fumana likarolo tsa vector
3. Fumana sephetho sa li-vector tse peli u sebelisa theorem ea Pythagorean
4. Fumana sephetho sa li-vector tse peli u sebelisa equation ea cosines
5. Fumana sephetho sa li-vector tse peli u sebelisa likarolo tsa li-vector