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Step by Step :

Diketahui :

F1 = 8 N

F2 = 4√3 N

F3 = 2 N

Ditanya :

R dan sudut?

Jawab :

Mencari vektor thd sumbu X :

F1x = F1 cos 270°

= 8. 0

= 0 N

F2x = F2. cos 60°

= 4√3. ½

= 2√3 N

F3x = F3. cos 150°

= 2. -½√3

= -√3 N

ΣFx = 0 + 2√3 + -√3

= √3 N

Vektor terhadap sumbu Y :

F1y = F1. sin 270°

= 8. -1

= -8 N

F2y = F2. sin 60°

= 4√3. ½√3

= 6 N

F3y = F3. sin 150°

= 2. ½

= 1 N

ΣFy = -8 + 6 + 1

= -1 N

|R| = √ΣFx² + ΣFy²

= √(√3)² + (-1)²

= √3 + 1

= 2 N

Sudutnya terhadap sumbu X :

θ = |ΣFy|/|ΣFx|

= 1/√3 (rasionalkan)

= ⅓√3 N

Resultan = 2 N dan sudutnya 30° (tidak ada di opsi).