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Pertanyaan

Tiga vektor masing-masing memiliki nilai dan sudut terhadap sumbu X sebagai berikut. Hitung resultan vektor dengan metode penguraian vektor! ( 3 ​ = 17 )

Tiga vektor masing-masing memiliki nilai dan sudut terhadap sumbu X sebagai berikut.

Hitung resultan vektor dengan metode penguraian vektor! 

  1. ...space 

  2. ...undefined 

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A. Tegar

Master Teacher

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Pembahasan

resultan di sumbu x: resultan di sumbu y: resultan vektor:

resultan di sumbu x:

R with rightwards arrow on top subscript x equals u with rightwards arrow on top subscript x plus v with rightwards arrow on top subscript x plus w with rightwards arrow on top subscript x R with rightwards arrow on top subscript x equals 10 space cos space 60 to the power of straight omicron plus 15 space cos space 150 to the power of straight omicron plus 20 space cos space 240 to the power of straight omicron R with rightwards arrow on top subscript x equals 5 minus 7 comma 5 square root of 3 minus 10 R with rightwards arrow on top subscript x equals negative 5 minus 7 comma 5 square root of 3 space satuan  

resultan di sumbu y:

begin mathsize 14px style R with rightwards arrow on top subscript y equals u with rightwards arrow on top subscript y plus v with rightwards arrow on top subscript y plus w with rightwards arrow on top subscript y R with rightwards arrow on top subscript y equals 10 space sin space 60 to the power of blank to the power of straight omicron end exponent plus 15 space sin space 150 to the power of blank to the power of straight omicron end exponent plus 20 space sin space 240 to the power of straight omicron R with rightwards arrow on top subscript y equals 5 square root of 3 plus 7 comma 5 minus 10 square root of 3 R with rightwards arrow on top subscript y equals 7 comma 5 minus 5 square root of 3 space satuan end style 

resultan vektor:

begin mathsize 14px style R equals square root of R with rightwards arrow on top subscript x squared plus R with rightwards arrow on top subscript y squared end root R equals square root of open parentheses negative 5 minus 7 comma 5 square root of 3 close parentheses squared plus open parentheses 7 comma 5 minus 5 square root of 3 close parentheses squared end root R equals square root of open parentheses negative 5 minus 13 close parentheses squared plus open parentheses 7 comma 5 minus 8 comma 6 close parentheses squared end root R equals square root of open parentheses negative 18 close parentheses squared plus open parentheses negative 1 comma 1 close parentheses squared end root R equals square root of 324 plus 1 comma 21 end root R equals square root of 325 comma 21 end root R almost equal to 18 space satuan end style 

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