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Perhatikan gambar berikut! Tentukan resultan ketiga vektor tersebut!

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Tentukan resultan ketiga vektor tersebut! 

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M. Mulyanto

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

resultan dari vektor vektor tersebut adalah 2 10 ​

resultan dari vektor vektor tersebut adalah 

Pembahasan

Pembahasan
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Kita uraikan terlebih dahulu komponen masing-masing vektor: Sehingga, Maka, Sehingga resultan dari vektor vektor tersebut adalah 2 10 ​

Kita uraikan terlebih dahulu komponen masing-masing vektor:

begin mathsize 14px style stack F subscript 1 subscript x end subscript with rightwards harpoon with barb upwards on top equals stack F subscript 1 with rightwards harpoon with barb upwards on top space cos theta equals 20 space cos 53 degree equals 12 space straight N stack F subscript 1 subscript y end subscript with rightwards harpoon with barb upwards on top equals stack F subscript 1 with rightwards harpoon with barb upwards on top space sin theta equals 20 space sin 53 degree equals 16 space straight N stack F subscript 2 subscript x end subscript with rightwards harpoon with barb upwards on top equals stack F subscript 3 with rightwards harpoon with barb upwards on top space cos theta equals 30 space cos 37 degree equals 24 space straight N stack F subscript 2 subscript y end subscript with rightwards harpoon with barb upwards on top equals stack F subscript 1 with rightwards harpoon with barb upwards on top space sin theta equals 30 space sin 37 degree equals 18 space straight N stack F subscript 3 subscript x end subscript with rightwards harpoon with barb upwards on top equals 6 space straight N comma space stack F subscript 3 subscript y end subscript with rightwards harpoon with barb upwards on top equals 0 space straight N end style 

Sehingga, begin mathsize 14px style capital sigma stack F subscript x with rightwards harpoon with barb upwards on top equals 6 space straight N semicolon space straight capital sigma stack straight F subscript straight y with rightwards harpoon with barb upwards on top equals 2 space straight N space end style 

Maka, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row R equals cell square root of open parentheses capital sigma stack F x with rightwards harpoon with barb upwards on top close parentheses squared plus open parentheses capital sigma stack F y with rightwards harpoon with barb upwards on top close parentheses squared end root end cell row blank equals cell square root of 6 squared plus 2 squared end root end cell row blank equals cell square root of 40 equals 2 square root of 10 space straight N end cell end table end style 

Sehingga resultan dari vektor vektor tersebut adalah 

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