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Perhatikan gambar! Resultan ketiga vektor gaya ter...

Perhatikan gambar! Resultan ketiga vektor gaya tersebut adalah ...

  1. 10 N

  2. 8 N

  3. 6 N

  4. 5 N

  5. 4 N

Jawaban:

Tinjau sumbu x.

sum straight F subscript straight x equals straight F subscript 2 cos 30 to the power of straight o plus straight F subscript 1 minus straight F subscript 3  sum straight F subscript straight x equals left parenthesis 10 right parenthesis open parentheses 1 half square root of 3 close parentheses plus 8 minus 8  sum straight F subscript straight x equals left parenthesis 5 square root of 3 right parenthesis straight N

 

Tinjau sumbu y.

sum straight F subscript straight y equals straight F subscript 2 sin space 30 to the power of straight o  sum straight F subscript straight y equals left parenthesis 10 right parenthesis open parentheses 1 half close parentheses  sum straight F subscript straight y equals 5 space straight N

Maka, besarnya resultan gaya dengan menggunakan vektor adalah :

straight F subscript straight R equals square root of open parentheses sum straight F subscript straight x close parentheses squared plus open parentheses sum straight F subscript straight y close parentheses squared end root  straight F subscript straight R equals square root of open parentheses 5 square root of 3 close parentheses squared plus left parenthesis 5 right parenthesis squared end root space equals square root of 100  straight F subscript straight R equals 10 space straight N

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