Nquma izingxenye zevektha

Izinkinga ezixazululiwe kuma-vector - nquma izingxenye ze-vector

1. Amandla angu-20 I-Newton yenza i-engeli engu-30 ^o nge-x-axis. Thola zombili izingxenye zika-x no-y zamandla.

Isixazululo

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 Newtons

[irp]

2. F ₁ = 20 UNewton wenza i-engeli engu-30 ^o nge-y axis kanye no-F ₂ = 30 UNewton wenza i-engeli engu-60 ^o nge--x axis. Thola zombili izingxenye ze-x kanye ne-y ze-F ₁ kanye ne-F ₂.

Isixazululo

F _1x = F ₁ cos 60 ^o = (20)(cos 60 ^o ) = (20)(0.5) = -10 AmaNewton (angemuhle ngoba anesiqondiso esifanayo ne-axis -x)

F _2x = F ₂ cos 60 ^o = (30)(cos 60 ^o ) = (30)(0.5) = -15 AmaNewton (angemuhle ngoba anesiqondiso esifanayo ne-axis -x)

F_1y =F₁ Isono 60^o = (20)(isono 60^o) = (20)(0.5√3= = 10√3 I-Newton (enhle ngoba inesiqondiso esifanayo ne-axis y)

F_2y =F₂ Isono 60^o = (30)(isono 60^o) = (30)(0.5√3) = -15√3 I-Newton (engemihle ngoba inesiqondiso esifanayo ne-axis -y)

[irp]

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Thola zombili izingxenye ze-x kanye ne-y ze-F ₁ , F ₂ kanye ne-F ₃!

Isixazululo

F _1x = F ₁ cos 60 ^o = (2)(cos 60 ^o ) = (2)(0.5) = 1 AmaNewton (aqondile ngoba anesiqondiso esifanayo ne-x axis)

F_2x =F₂ cos 30^o = (4)(cos 30^o) = (4)(0.5√3) = -2√3 I-Newton (engemihle ngoba inesiqondiso esifanayo ne-axis -x)

F _3x = F ₃ cos 60 ^o = (6)(cos 60 ^o ) = (6)(0.5) = 3 AmaNewton (aqondile ngoba anesiqondiso esifanayo ne-x axis)

F_1y =F₁ Isono 60^o = (2)(isono 60^o) = (2)(0.5√3) = √3 I-Newton (enhle ngoba inesiqondiso esifanayo ne-axis y)

F _{2 y} = F ₂ sin 3 0 ^o = (4)(sin 30 ^o ) = (4)(0.5) = 2 AmaNewton (aqondile ngoba anesiqondiso esifanayo ne-axis y)

F_3y =F₃ Isono 60^o = (6)(isono 60^o) = (6)(0.5√3) = -3√3 I-Newton (engemihle ngoba inesiqondiso esifanayo ne-axis -y)

[irp]

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1. Nquma umphumela we-vector yomugqa
2. Nquma izingxenye zevektha
3. Thola umphumela wamavektha amabili usebenzisa i-Pythagorean theorem
4. Nquma umphumela wamavektha amabili usebenzisa i-cosine equation
5. Nquma umphumela wamavektha amabili usebenzisa izingxenye zamavektha