Txheeb xyuas cov khoom sib xyaw vector

Tau daws cov teeb meem hauv vectors - txiav txim siab cov khoom vector

1. Lub zog ntawm 20 Newton ua rau lub kaum sab xis ntawm 30 o nrog rau x-axis. Nrhiav ob qho x thiab y Cheebtsam ntawm lub zog.

Kev daws cov teeb meem vectors - kev txiav txim siab cov khoom vector 1tshuaj

F x = F cos 30 o = (20)(cos 30 o ) = (20)(0.5 √ 3 ) = 10 √ 3 Newtons

F y = F sin 30 o = (20)(sin 30 o ) = (20)(0.5) = 10 Newton

[irp]

2. F 1 = 20 Newton ua lub kaum ntawm 30 o nrog rau y axis thiab F 2 = 30 Newton ua lub kaum ntawm 60 o nrog rau -x axis. Nrhiav ob qho x thiab y Cheebtsam ntawm F 1 thiab F 2.

Kev daws cov teeb meem vectors - kev txiav txim siab cov khoom vector 2tshuaj

F 1x = F 1 cos 60 o = (20)(cos 60 o ) = (20)(0.5) = -10 Newtons (tsis zoo vim nws muaj tib qho kev taw qhia li -x axis)

F 2x = F 2 cos 60 o = (30)(cos 60 o ) = (30)(0.5) = -15 Newtons (tsis zoo vim nws muaj tib qho kev taw qhia li -x axis)

F1y =F1 kev txhaum 60o = (20)(kev txhaum 60o) = (20)(0.5√3= 10 TZS√3 Newton (zoo vim nws muaj tib qho kev taw qhia li y axis)

F2y =F2 kev txhaum 60o = (30)(kev txhaum 60o) = (30)(0.5√3) = -15√3 Newton (tsis zoo vim nws muaj tib qho kev taw qhia li -y axis)

[irp]

3. F 1 = 2 N, F 2 = 4 N, F 3 = 6 N. Nrhiav ob qho x thiab y Cheebtsam ntawm F 1 , F 2 thiab F 3!

Kev daws cov teeb meem vectors - kev txiav txim siab cov khoom vector 3tshuaj

F 1x = F 1 cos 60 o = (2)(cos 60 o ) = (2)(0.5) = 1 Newtons (zoo vim nws muaj tib qho kev taw qhia nrog x axis)

F2x =F2 cos 30o = (4)(cos 30o) = (4)(0.5√3) = -2√3 Newton (tsis zoo vim nws muaj tib qho kev taw qhia nrog -x axis)

F 3x = F 3 cos 60 o = (6)(cos 60 o ) = (6)(0.5) = 3 Newtons (zoo vim nws muaj tib qho kev taw qhia nrog x axis)

F1y =F1 kev txhaum 60o = (2)(kev txhaum 60o) = (2)(0.5√3) = √3 Newton (zoo vim nws muaj tib qho kev taw qhia li y axis)

F 2 y = F 2 sin 3 0 o = (4)(sin 30 o ) = (4)(0.5) = 2 Newtons (zoo vim nws muaj tib qho kev taw qhia nrog y axis)

F3y =F3 kev txhaum 60o = (6)(kev txhaum 60o) = (6)(0.5√3) = -3√3 Newton (tsis zoo vim nws muaj tib qho kev taw qhia nrog -y axis)

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

  1. Txheeb xyuas qhov tshwm sim ntawm hauv kab vector
  2. Txheeb xyuas cov khoom sib xyaw vector
  3. Txheeb xyuas qhov tshwm sim ntawm ob lub vectors siv Pythagorean theorem
  4. Txheeb xyuas qhov tshwm sim ntawm ob lub vectors siv cov qauv cosines
  5. Txheeb xyuas qhov tshwm sim ntawm ob lub vectors siv cov khoom ntawm vectors

Print Friendly, PDF & Email

Cia ib saib