Piv txwv ntawm ib lo lus nug los txiav txim siab qhov vector tshwm sim siv cov vectors sib xyaw

2 Piv txwv ntawm cov lus nug txog kev txiav txim siab qhov vector tshwm sim siv cov vectors sib xyaw

1. F ₁ = 6 N, F ₂ = 10 N. Qhov tshwm sim ntawm ob lub zog vectors yog…

Kev Sib Tham
F_1x =F₁ coj 60^o = (6)(0,5) = 3 N (zoo vim nws nyob rau hauv qhov kev taw qhia x zoo)
F_2x =F₂ coj 30^o = (10)(0,5√3) = 5√3 = (5)(1,372) = -8,66 N (tsis zoo vim nws nyob rau hauv qhov kev taw qhia x tsis zoo)
F_1y =F₁ kev txhaum 60^o = (6)(0,5√3) = 3√3 = (3)(1,372) = 4,116 N (zoo vim nws nyob rau hauv qhov kev taw qhia y zoo)
F_2y =F₂ kev txhaum 30^o = (10)(0,5) = -5 N (tsis zoo vim nws nyob rau hauv qhov kev taw qhia y tsis zoo)

F_x =F_1x - F_2x = 3 – 8,66 = -5,66 N
F_y =F_1y - F_2y  = 4,116 – 5 = -0,884 N

Tus vector tshwm sim yog 5,7 N.

2. F ₁ = 4 N, F ₂ = 4 N, F ₃ = 8 N. Qhov tshwm sim ntawm peb lub zog vectors yog…

Kev Sib Tham
F_1x =F₁ coj 60^o = (4)(0,5) = 2 N (zoo vim nws nyob rau hauv qhov kev taw qhia x zoo)
F_2x = -4 N (tsis zoo vim nws nyob rau hauv qhov kev taw qhia x tsis zoo)
F_3x =F₃ coj 60^o = (8)(0,5) = 4 N (zoo vim nws nyob rau hauv qhov kev taw qhia x zoo)
F_1y =F₁ kev txhaum 60^o = (4)(0,5√3) = 2√3 N (zoo vim nws nyob rau hauv qhov kev taw qhia y zoo)
F_2y = 0
F_3y =F₃ kev txhaum 60^o = (8)(0,5√3) = -4√3 N (tsis zoo vim nws nyob rau hauv qhov kev taw qhia y tsis zoo)

F_x =F_1x - F_2x +F_3x = 2 – 4 + 4 = 2 N
F_y =F_1y +F_2y  - F_3y = 2√3 + 0 – 4√3 = -2√3 N

Tus vector tshwm sim yog 4 N.

Cov lus nug txog kev txiav txim siab qhov vector tshwm sim siv cov vectors sib xyaw

1. F₁ = 6 N, F₂ = 12 N. Qhov tshwm sim ntawm ob lub zog vectors yog…
2. F₁ = 10 N, F₂ = 10 N, F₃ = 15 N. Qhov tshwm sim ntawm peb lub zog vectors yog…

[Lus Askiv: Kev daws cov teeb meem vectors - txiav txim siab qhov tshwm sim ntawm ob lub vectors siv cov khoom ntawm vector ]