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Pertanyaan

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

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

  1. 24 N

  2. 16 N

  3. 12 N

  4. 10 N

  5. 4 N

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E. Dwihermiati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

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Pembahasan

Tinjau sumbu x: Tinjau sumbu y. Maka, besarnya resultan gaya dengan menggunakan vektor adalah:

Tinjau sumbu x:

begin mathsize 12px style begin inline style sum for F subscript x of equals F subscript 1 minus F subscript 2 space sin space 30 degree minus F subscript 3 space cos space 60 degree  sum for F subscript x of equals 20 minus open parentheses 20 close parentheses open parentheses begin display style 1 half end style close parentheses minus open parentheses 24 close parentheses open parentheses begin display style 1 half end style close parentheses  sum for F subscript x of equals 20 minus 10 minus 12  sum for F subscript x of equals negative 2 space N end style end style

Tinjau sumbu y.

begin mathsize 12px inline style sum for F subscript y of equals F subscript 2 space cos space 30 degree minus F subscript 3 space sin space 60 degree  sum for F subscript y of equals open parentheses 20 close parentheses open parentheses begin display style 1 half square root of 3 end style close parentheses minus open parentheses 24 close parentheses open parentheses begin display style 1 half square root of 3 end style close parentheses  sum for F y of equals 10 square root of 3 minus 12 square root of 3  sum for F subscript y of equals negative 2 square root of 3 space N end style

Maka, besarnya resultan gaya dengan menggunakan vektor adalah:

begin inline style size 12px F subscript size 12px R size 12px equals square root of open parentheses size 12px sum for size 12px F subscript size 12px x of close parentheses to the power of size 12px 2 size 12px plus open parentheses size 12px sum for size 12px F subscript size 12px y of close parentheses to the power of size 12px 2 end root  size 12px F subscript size 12px R size 12px equals square root of size 12px left parenthesis size 12px minus size 12px 2 size 12px right parenthesis to the power of size 12px 2 size 12px plus open parentheses size 12px minus size 12px 2 square root of size 12px 3 close parentheses to the power of size 12px 2 end root  size 12px F subscript size 12px R size 12px equals size 12px 4 size 12px space size 12px N end style

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Nurul Hikma

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Perhatikan gambar berikut. Jika sin 37° = 0,6 dan cos 37° = 0,8, besar resultan gaya pada gambar tersebut adalah ....

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