Imibuzo eyisibonelo yokunquma izingxenye zevektha

2 Izibonelo zemibuzo mayelana nokunquma izingxenye zevektha

1. Ivektha yamandla F = 20 I-Newton yakha i-engeli engu-30^o ku-x-axis enhle. Thola izingxenye zevektha u-F ku-x-axis (F)_x) kanye ne-y-axis (F_y).

Ingxoxo
F_x = F cos 30^o = (20)(cos 30^o) = (20)(0,5√3) = 10√3 AmaNewton
F_y = F isono 30^o = (20)(isono 30^o) = (20)(0,5) = 10 Newton

2. Ivektha F₁ = 20 AmaNewton enza i-engeli engu-30^o ku-y-axis enhle kanye no-F₂ = 30 AmaNewton enza i-engeli engu-60^o ku-x-axis engemihle. Thola izingxenye zevektha u-F₁ kanye no-F₂ ku-x-axis kanye naku-y-axis.

Ingxoxo
F_1x =F₁ ibe 60^o = (20)(cos 60^o) = (20)(0,5) = -10 Newton (engemihle ngoba isendleleni engemihle x)
F_2x =F₂ ibe 60^o = (30)(cos 60^o) = (30)(0,5) = -15 Newton (engemihle ngoba isendleleni engemihle x)
F_1y =F₁ ngaphandle 60^o = (20)(isono 60^o) = (20)(0,5√3) = 10√3 I-Newton (enhle ngoba isendleleni enhle ka-y)
F_2y =F₂ ngaphandle 60^o = (30)(isono 60^o) = (30)(0,5√3) = -15√3 I-Newton (engemihle ngoba isendleleni engemihle ka-y)

I-3. F₁ = 2 N, F₂ = 4 N, F₃ = 6 N. Thola izingxenye zevektha F₁, F₂ kanye no-F₃ ku-x-axis kanye ne-y-axis!

Ingxoxo
F_1x =F₁ ibe 60^o = (2)(cos 60^o) = (2)(0,5) = 1 Newton (enhle ngoba isendleleni enhle x)
F_2x =F₂ ibe 30^o = (4)(cos 30^o) = (4)(0,5√3) = -2√3 I-Newton (engemihle ngoba isendleleni engemihle x)
F_3x =F₃ ibe 60^o = (6)(cos 60^o) = (6)(0,5) = 3 Newton (enhle ngoba isendleleni enhle x)
F_1y =F₁ ngaphandle 60^o = (2)(isono 60^o) = (2)(0,5√3) = √3 Newton (enhle ngoba isendleleni enhle ka-y)
F_2y =F₂ ngaphandle 30^o = (4)(isono 30^o) = (4)(0,5) = 2 Newton (enhle ngoba isendleleni enhle ka-y)
F_3y =F₃ ngaphandle 60^o = (6)(isono 60^o) = (6)(0,5√3) = -3√3 I-Newton (engemihle ngoba isendleleni engemihle ka-y)

Imibuzo mayelana nokunquma izingxenye ze-vector

1. Ivektha yamandla F = 8 I-Newton yakha i-engeli engu-60^o ku-x-axis enhle. Thola izingxenye zevektha u-F ku-x-axis (F)_x) kanye ne-y-axis (F_y).
2. Ivektha F₁ = 8 AmaNewton enza i-engeli engu-45^o ku-y-axis enhle kanye no-F₂ = 10 AmaNewton enza i-engeli engu-30^o ku-x-axis engemihle. Thola izingxenye zevektha u-F₁ kanye no-F₂ ku-x-axis kanye naku-y-axis.
I-3. F₁ = 4 N, F₂ = 8 N, F₃ = 12 N. Thola izingxenye zevektha F₁, F₂ kanye no-F₃ ku-x-axis kanye ne-y-axis!

[IsiNgisi: Ukuxazulula izinkinga zamavektha - ukunquma izingxenye zamavektha]