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Vektor gaya Error converting from MathML to accessible text., begin mathsize 12px style straight F subscript 2 end style, dan begin mathsize 12px style straight F subscript 3 end style terletak pada sebuah diagram kartesius seperti gambar :

Resultan ketiga vektor adalah ...

  1. square root of 26 space straight N

  2. square root of 76 space straight N

  3. square root of 84 space straight N

  4. square root of 168 space straight N

  5. square root of 204 space straight N

A. Muhaemin

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Pembahasan

Diketahui :

straight F subscript 1 equals 12 space straight N  straight F subscript 2 equals 10 space straight N  straight F subscript 3 equals 8 space straight N  θF subscript 1 equals 30 degree  θF subscript 3 equals 90 degree minus 60 degree equals 30 degree  straight F subscript straight R ?

Tinjau sumbu x :

sum straight F subscript straight x equals straight F subscript 1 space cos space 30 degree space minus space straight F subscript 3 space cos space 30 degree  sum straight F subscript straight x equals 12 space open parentheses 1 half square root of 3 close parentheses space minus space 8 open parentheses 1 half square root of 3 close parentheses  sum straight F subscript straight x equals 6 square root of 3 minus 4 square root of 3  sum straight F subscript straight x equals 2 square root of 3 space straight N

Tinjau sumbu y :

sum straight F subscript straight y equals straight F subscript 1 space sin space 30 degree space minus space straight F subscript 3 space sin space 30 degree minus space straight F subscript 2  sum straight F subscript straight y equals 12 space open parentheses 1 half close parentheses space minus space 8 open parentheses 1 half close parentheses minus 10  sum straight F subscript straight y equals 6 minus 4 minus 10  sum straight F subscript straight y equals negative 8 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 space open parentheses sum straight F subscript straight y close parentheses squared end root  straight F subscript straight R equals square root of open parentheses 2 square root of 3 close parentheses squared plus space open parentheses negative 8 close parentheses squared end root  straight F subscript straight R equals square root of 76 space straight N

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