Roboguru

Tiga gaya membentuk diagram vektor seperti gambar di bawah ini.   Jika diketahui  , nilai resultan ketiga gaya adalah ....

Pertanyaan

Tiga gaya membentuk diagram vektor seperti gambar di bawah ini.

 

Jika diketahui  begin mathsize 14px style F subscript 1 equals F subscript 2 equals 10 space straight N space space dan space space F subscript 3 equals 15 space straight N end style, nilai resultan ketiga gaya adalah ....  

  1. 0,5 N 

  2. 4,5 N 

  3. 5 N 

  4. 5,5 N 

  5. 6 N 

Pembahasan Soal:

Diketahui :
F subscript 1 equals 10 space N F subscript 2 equals 10 space N F subscript 3 equals 15 space N 

Ditanyakan :
R space ? 

Pembahasan:

Mencari Resultan pada sumbu-x :
F with rightwards arrow on top subscript 1 x end subscript equals 10 space straight N F with rightwards arrow on top subscript 2 x end subscript equals 10 space c o s 60 degree F with rightwards arrow on top subscript 2 x end subscript equals 10 cross times 1 half F with rightwards arrow on top subscript 2 x end subscript equals 5 space straight N F with rightwards arrow on top subscript 3 x end subscript equals 15 space c o s 60 degree F with rightwards arrow on top subscript 3 x end subscript equals 15 cross times 1 half F with rightwards arrow on top subscript 3 x end subscript equals 7 comma 5 space straight N F with rightwards arrow on top subscript x equals F with rightwards arrow on top subscript 2 x end subscript plus F with rightwards arrow on top subscript 3 x end subscript minus F with rightwards arrow on top subscript 1 x end subscript F with rightwards arrow on top subscript x equals 5 plus 7 comma 5 minus 10 F with rightwards arrow on top subscript x equals 2 comma 5 space straight N F with rightwards arrow on top subscript 1 y end subscript equals 0 space straight N Mencari space resultan space pada space sumbu minus straight y space colon F with rightwards arrow on top subscript 2 y end subscript equals 10 space s i n 60 degree F with rightwards arrow on top subscript 2 y end subscript equals 10 cross times 1 half square root of 3 F with rightwards arrow on top subscript 2 y end subscript equals 5 square root of 3 space straight N F with rightwards arrow on top subscript 3 y end subscript equals 15 space s i n 60 degree F with rightwards arrow on top subscript 3 y end subscript equals 15 cross times 1 half square root of 3 F with rightwards arrow on top subscript 3 y end subscript equals 7 comma 5 square root of 3 space straight N F with rightwards arrow on top subscript y equals F with rightwards arrow on top subscript 1 y end subscript plus F with rightwards arrow on top subscript 2 y end subscript minus F with rightwards arrow on top subscript 3 y end subscript F with rightwards arrow on top subscript y equals 0 plus 5 square root of 3 minus 7 comma 5 square root of 3 F with rightwards arrow on top subscript y equals negative 2 comma 5 square root of 3 space straight N mencari space nilai space Resultan space gaya space colon R equals square root of F with rightwards arrow on top subscript x squared plus F with rightwards arrow on top subscript y squared end root R equals square root of 2 comma 5 squared plus left parenthesis negative 2 comma 5 square root of 3 right parenthesis squared end root R equals 5 space straight N   

Jadi, jawaban yang tepat adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 18 Juli 2021

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