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Resultan ketiga gaya pada gambar berikut adalah ....

  1. 24 N

  2. 16 N

  3. 12 N

  4. 10 N

  5. 4 N

A. ACFREELANCE

Master Teacher

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Pembahasan

Diketahui colon  straight F subscript 1 equals 20 straight N semicolon space space straight F subscript 2 equals 20 straight N semicolon space space straight F subscript 3 equals 24 straight N  θF subscript 2 equals 90 degree minus 30 degree equals 60 degree left parenthesis sudut space yang space dekat space sumbu minus straight x right parenthesis  θF subscript 3 equals 60 degree    Ditanya space colon space straight F subscript straight R ?    Jawab space colon  Langkah space pertama space colon thin space  Hitung space total space gaya space di space sumbu minus straight x  sum straight F subscript straight x equals straight F subscript 1 minus straight F subscript 2 space cos space 60 degree minus straight F subscript 3 space cos space 60 degree  sum straight F subscript straight x equals 20 minus 20 open parentheses 1 half close parentheses minus 24 open parentheses 1 half close parentheses  sum straight F subscript straight x equals negative 2 straight N
 

Langkah space kedua  Hitung space total space gaya space disumbu minus straight y  ΣF subscript straight y equals straight F subscript 2 space sin space 60 degree minus straight F subscript 3 space sin space 60 degree  sum straight F subscript straight y equals 20 open parentheses 1 half square root of 3 close parentheses minus 24 open parentheses 1 half square root of 3 close parentheses  sum straight F subscript straight y equals negative 2 square root of 3 straight N    Maka space besar space resultan space gaya  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 square root of 3 right parenthesis squared end root  straight F subscript straight R equals square root of 16  straight F subscript straight R equals 4 straight N

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