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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

F. Furqoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

 F1 = 12 N; F2 = 6 N; F3 = 12 N

theta F subscript 1 space equals space 180 space degree minus 120 degree space equals space 60 degree

theta F subscript 3 equals 180 degree minus 120 degree equals 60 degree

F subscript R ?

Tinjau sumbu x :

sum straight F subscript straight x equals straight F subscript 1 cos space 60 to the power of 0 plus straight F subscript 3 cos space 60 to the power of 0 minus straight F subscript 2  sum straight F subscript straight x equals 12 left parenthesis 1 half right parenthesis plus 12 left parenthesis 1 half right parenthesis minus 6  sum straight F subscript straight x equals 6 space straight N

Tinjau sumbu y:

sum straight F subscript straight y equals straight F subscript 1 space sin space 60 to the power of 0 minus straight F subscript 3 space sin space 60 to the power of 0  sum straight F subscript straight y equals 12 left parenthesis 1 half square root of 3 right parenthesis minus 12 left parenthesis 1 half square root of 3 right parenthesis  sum straight F subscript straight y equals 0

Maka, besarnya resultan gaya dengan menggunakan vektor adalah :

straight F subscript straight R equals square root of left parenthesis sum straight F subscript straight x right parenthesis squared plus left parenthesis sum straight F subscript straight y right parenthesis squared end root  straight F subscript straight R equals square root of left parenthesis 6 right parenthesis squared plus left parenthesis 0 right parenthesis squared end root  straight F subscript straight R equals 6 space straight N

 

 

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