Nquma umphumela wamavektha amabili usebenzisa izingxenye zevektha

Izinkinga ezixazululiwe kuma-vector - thola imiphumela yama-vector amabili usebenzisa izingxenye ze-vector

1. F ₁ = 6 N, F ₂ = 10 N. Thola i-vector ephumela.

Isixazululo

F _1x = F ₁ cos 60 ^o = (6)(0.5) = 3 N ( ilungile ngoba inesiqondiso esifanayo ne-x axis )

F _2x = F ₂ cos 30 ^o = (10)(0.5 √ 3) = 5 √ 3 = (5)(1.372) = -8.66 N (engemihle ngoba inesiqondiso esifanayo ne-axis -x)

F _1y = F ₁ sin 60 ^o = (6)(0.5 √ 3) = 3 √ 3 ​​​​= (3)(1.372) = 4.116 N ( ilungile ngoba inesiqondiso esifanayo ne-y axis )

F _2y = F ₂ sin 30 ^o = (10)(0.5 ) = -5 N (negative ngoba inesiqondiso esifanayo ne-axis -y)

F _x = F _1x – F _2x = 3 – 8.66 = -5.66 N

F _y = F _1y – F _2y = 4.116 – 5 = -0.884 N

Umphumela wala mandla amabili u-5.7 N.

[irp]

2. F ₁ = 4 N, F ₂ = 4 N, F ₃ = 8 N. Thola i-vector ephumela.

Isixazululo

F_1x =F₁ ibe 60^o = (4)(0.5) = 2 N (okuhle ngoba kunesiqondiso esifanayo ne-x axis)

F _2x = -4 N (negative ngoba inesiqondiso esifanayo ne-axis -x)

F _3x = F ₃ cos 60 ^o = (8)(0.5) = 4 N ( ilungile ngoba inesiqondiso esifanayo ne-x axis )

F_1y =F₁ ngaphandle 60^o = (4)(0.5√3) = 2√3 N (okuhle ngoba kunesiqondiso esifanayo ne-y axis)

F _2y = 0

F_3y =F₃ ngaphandle 60^o = (8)(0.5√3) = -4√3 N (okubi) ngoba inesiqondiso esifanayo ne-axis -y)

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√I-3 N

Umphumela wala mandla amathathu ngu-5.7 N.

[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