Resultan ketiga gaya pada gambar di samping adalah...

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

24 N
16 N
12 N
10 N
4 N

Jawaban:

tinjau sumbu x:

$sum straight F subscript straight x equals straight F subscript 1 minus straight F subscript 2 space sin space 30 degree minus straight F subscript 3 cos space 60 degree sum straight F subscript straight x equals 20 space minus space 20 open parentheses 1 half close parentheses minus 24 open parentheses 1 half close parentheses sum straight F subscript straight x equals negative 2 straight N$

tinjau sumbu y:

$sum straight F subscript straight y equals straight F subscript 2 space cos space 30 degree minus straight F subscript 3 space sin space 60 degree sum straight F subscript straight y equals space 20 open parentheses 1 half square root of 3 close parentheses minus 24 open parentheses 1 half square root of 3 close parentheses sum straight F subscript straight y equals space minus 2 square root of 3 straight N$

Maka resultan vektor adalah :

$blank subscript straight F subscript straight R equals square root of left parenthesis sum straight F subscript straight x right parenthesis squared plus left parenthesis sum straight F subscript straight y right parenthesis squared end root end subscript subscript straight F subscript straight R equals square root of left parenthesis negative 2 right parenthesis squared plus left parenthesis negative 2 square root of 3 right parenthesis squared end root end subscript straight F subscript straight R space equals space square root of 4 plus 12 end root straight F subscript straight R equals square root of 16 straight F subscript straight R equals space 4 space straight N$

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