Sarudza zvikamu zvevector

1. Simba re20 Newton rinoita kona ye30 ^o ne x-axis. Tsvaga zvikamu zve x ne y zve simba.

Kugadzirisa matambudziko evectors - kuona zvikamu zvevector 1 mhinduro

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

F _y= F chivi 30 ^o = (20)(chivi 30 ^o ) = (20)(0.5) = Matoni gumi

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2. F ₁= 20 Newton anoita kona ye30 ^o ne y axis uye F ₂= 30 Newton anoita kona ye60 ^o ne -x axis. Tsvaga zvikamu zve x ne y zve F ₁ne F ₂.

Kugadzirisa matambudziko evectors - kuona zvikamu zvevector 2 mhinduro

F _1x= F ₁cos 60 ^o = (20)(cos 60 ^o ) = (20)(0.5) = -10 Newtons (negative nekuti ine gwara rakafanana ne -x axis)

F _2x= F ₂cos 60 ^o = (30)(cos 60 ^o ) = (30)(0.5) = -15 Newtons (negative nekuti ine gwara rakafanana ne -x axis)

F_1y =F₁ chivi 60^o = (20)(chivi 60^o) = (20)(0.5√3= = 10√3 Newton (yakanaka nekuti ine gwara rakafanana ney axis)

F_2y =F₂ chivi 60^o = (30)(chivi 60^o) = (30)(0.5√3) = -15√3 Newton (negative nekuti ine gwara rakafanana ne -y axis)

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3. F ₁= 2 N, F ₂= 4 N, F ₃= 6 N. Tsvaga zvikamu zve x na y zve F ₁, F ₂na F ₃!

Kugadzirisa matambudziko evectors - kuona zvikamu zvevector 3 mhinduro

F _1x= F ₁cos 60 ^o = (2)(cos 60 ^o ) = (2)(0.5) = 1 Newtons (yakanaka nekuti ine gwara rakafanana ne x axis)

F_2x =F₂ cos 30^o = (4)(cos 30^o) = (4)(0.5√3) = -2√3 Newton (negative nekuti ine gwara rakafanana ne -x axis)

F _3x= F ₃cos 60 ^o = (6)(cos 60 ^o ) = (6)(0.5) = 3 Newtons (yakanaka nekuti ine gwara rakafanana ne x axis)

F_1y =F₁ chivi 60^o = (2)(chivi 60^o) = (2)(0.5√3) = √3 Newton (yakanaka nekuti ine gwara rakafanana ney axis)

F _{2 y}= F ₂sin 3 0 ^o = (4)(sin 30 ^o ) = (4)(0.5) = 2 Newtons (yakanaka nekuti ine gwara rakafanana ney axis)

F_3y =F₃ chivi 60^o = (6)(chivi 60^o) = (6)(0.5√3) = -3√3 Newton (negative nekuti ine gwara rakafanana ne -y axis)

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