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Perhatikan gamber berikut! Tiga buah vektor gaya, masing - masing besarnya , dan tersusun seperti gambar. Resultan ketiga vektor tersebut adalah....

Perhatikan gamber berikut!

Tiga buah vektor gaya, masing - masing besarnya straight F subscript 1 equals 12 space straight N comma space straight F subscript 2 equals 6 space straight N, dan straight F subscript 3 equals 12 space straight N tersusun seperti gambar. Resultan ketiga vektor tersebut adalah....

  1. 6 N

  2. 8 N

  3. 12 N

  4. 16 N

  5. 20 N

Jawaban:

Tinjau sumbu x

sum straight F subscript straight x equals straight F subscript 1 space sin space 30 to the power of 0 space plus space straight F subscript 3 space sin space 30 to the power of 0 space minus space straight F subscript 2  sum straight F subscript straight x equals left parenthesis 12 right parenthesis space left parenthesis 1 half right parenthesis plus left parenthesis 12 right parenthesis space left parenthesis 1 half right parenthesis space minus space 6  sum straight F subscript straight x equals 6 plus 6 minus 6  sum straight F subscript straight x equals 6 space straight N

 

Tinjau sumbu y

sum F subscript y equals F subscript 1 space c o s space 30 to the power of 0 minus F subscript 3 space c o s space 30 to the power of 0  sum F subscript y equals left parenthesis 12 right parenthesis left parenthesis 1 half square root of 3 right parenthesis minus left parenthesis 12 right parenthesis left parenthesis 1 half square root of 3 right parenthesis  sum F subscript y equals 0

Maka, besarnya resultan gayanya :

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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