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Pertanyaan

Tiga gaya bekerja pada titik O seperti gambar di atas. Nilai resultan ketiga gaya sebesar... ( 2 ​ = 1 , 4 ; 3 ​ = 1 , 7 )

Tiga gaya bekerja pada titik O seperti gambar di atas. Nilai resultan ketiga gaya sebesar...

 

  1. 76,67 Nspace 

  2. 66,21 Nundefined 

  3. 39,05 Nundefined 

  4. 25,24 Nundefined 

  5. 18,46 Nundefined 

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S. Syifa

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

jawaban yang tepat adalah A.

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Pembahasan

Pembahasan
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resultan vektor di sumbu x : resultan vektor di sumbu y : besar resultan vektor: Jadi, jawaban yang tepat adalah A.

resultan vektor di sumbu x:

begin mathsize 14px style R with rightwards arrow on top subscript x equals 80 space straight N space cos space 45 to the power of straight omicron plus 120 space straight N space cos space 30 to the power of straight omicron plus 100 space cos space 60 to the power of straight omicron R with rightwards arrow on top subscript x equals 80 left parenthesis 1 half square root of 2 right parenthesis minus 120 left parenthesis 1 half square root of 3 right parenthesis plus 100 left parenthesis 1 half square root of 3 right parenthesis R with rightwards arrow on top subscript x equals 40 square root of 2 minus 60 square root of 3 plus 50 square root of 3 straight R with rightwards arrow on top subscript straight x equals 56 minus 102 plus 85 R with rightwards arrow on top subscript x equals 39 space straight N end style  

resultan vektor di sumbu y:

begin mathsize 14px style R with rightwards arrow on top subscript y equals 80 space straight N space sin space 45 plus 120 space straight N space sin space 30 plus 100 space straight N space sin space 60 R with rightwards arrow on top subscript y equals 80 left parenthesis 1 half square root of 2 right parenthesis plus 120 left parenthesis 1 half right parenthesis minus 100 left parenthesis 1 half right parenthesis R with rightwards arrow on top subscript y equals 40 square root of 2 plus 60 minus 50 R with rightwards arrow on top subscript y equals 56 plus 60 minus 50 R with rightwards arrow on top subscript y equals 66 space straight N end style  

besar resultan vektor:

begin mathsize 14px style open vertical bar R with rightwards arrow on top close vertical bar equals R equals square root of R subscript x squared plus R subscript y squared end root R equals square root of left parenthesis 39 right parenthesis squared plus left parenthesis 66 right parenthesis squared end root R equals square root of 1521 plus 4356 end root R equals square root of 5877 R equals 76 comma 67 space straight N end style  

Jadi, jawaban yang tepat adalah A.

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Fina nur apriliani

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Pertanyaan serupa

Perhatikan tiga buah vektor berikut! Diketahui vektor F 1 ​ ​ = 10 N , F 2 ​ ​ = 8 N , dan F 3 ​ ​ = 12 N . Hitung resultan ketiga vektor tersebut!

11

4.8

Jawaban terverifikasi

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