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Pertanyaan

Resultan ketiga gaya pada gambar di bawah adalah ....

Resultan ketiga gaya pada gambar di bawah adalah ....

  1. 24 N

  2. 16 N

  3. 12 N

  4. 10 N

  5. 4 N

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Y. Maghfirah

Master Teacher

Jawaban terverifikasi

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Pembahasan

Tinjau sumbu x. Tinjau sumbu y. Maka jumlah resultan gayanya adalah :

Tinjau sumbu x.

sum straight F subscript straight x equals straight F subscript 1 minus straight F subscript 2 space sin space 30 to the power of straight omicron minus straight F subscript 3 space cos space 60 to the power of 0  sum straight F subscript straight x equals 20 minus 20 left parenthesis 1 half right parenthesis minus 24 left parenthesis 1 half right parenthesis  sum straight F subscript straight x equals 20 minus 10 minus 12  sum straight F subscript straight x equals negative 2 space straight N

 

Tinjau sumbu y.

sum straight F subscript straight y equals straight F subscript 2 space cos space 30 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 20 left parenthesis 1 half square root of 3 right parenthesis minus 24 left parenthesis 1 half square root of 3 right parenthesis  sum straight F subscript straight y equals 10 square root of 3 minus 12 square root of 3  sum straight F subscript straight y equals negative 2 square root of 3 space straight N

 

Maka jumlah resultan gayanya 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 negative 2 right parenthesis squared plus left parenthesis negative 2 √ 3 right parenthesis squared end root equals square root of 16  straight F subscript straight R equals 4 space straight N

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