Pertanyaan

Perhatikan gambar berikut! Tiga buah vektor gaya, masing-masing besarnya F 1 = 12 N, F 2 = 6 N, dan F 3 = 12 N tersusun seperti gambar. Resultan ketiga vektor tersebut adalah...

Perhatikan gambar berikut!

Tiga buah vektor gaya, masing-masing besarnya F1 = 12 N, F2 = 6 N, dan F3 = 12 N tersusun seperti gambar. Resultan ketiga vektor tersebut adalah...

  1. 6 N

  2. 8 N

  3. 12 N

  4. 16 N

  5. 20 N

R. Anjasmara

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Pembahasan

straight F subscript 1 space equals space 12 space straight N space semicolon space straight F subscript 2 space equals space 6 space straight N space semicolon space straight F subscript 3 space equals space 12 space straight N

straight theta subscript straight F subscript 1 end subscript space equals space 180 degree space minus space 120 degree space equals space 60 degree  straight theta subscript straight F subscript 3 end subscript space equals space 180 degree space minus space 120 degree space equals space 60 degree

straight F subscript straight R space ?

Tinjau space sumbu space straight x colon

begin inline style sum for space of straight F subscript straight x space equals space straight F subscript 1 space cos space 60 degree space plus space straight F subscript 3 space cos space 60 degree space minus space straight F subscript 2  end style

begin inline style sum for space of straight F subscript straight x space equals space 12 open parentheses begin display style 1 half end style close parentheses space plus space 12 open parentheses begin display style 1 half end style close parentheses space minus space 6 space equals space 6 space straight N end style

Tinjau space sumbu space straight y colon

begin inline style sum for space of straight F subscript straight y space equals space straight F subscript 1 space sin space 60 degree space minus space straight F subscript 3 space sin space 60 degree  end style

begin inline style sum for space of F subscript y space equals 12 open parentheses begin display style 1 half end style square root of 3 close parentheses space minus space 12 open parentheses begin display style 1 half end style square root of 3 close parentheses space equals space 0 end style

Maka comma space besarnya space resultan space gaya space dengan space menggunakan space vektor space adalah colon

straight F subscript straight R space equals space square root of open parentheses begin inline style sum for space of straight F subscript straight x end style close parentheses squared space plus space open parentheses begin inline style sum for space of straight F subscript straight y end style close parentheses squared end root

straight F subscript straight R space equals space square root of open parentheses 6 close parentheses squared space plus open parentheses 0 close parentheses squared end root space equals space 6 space straight N

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