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Pertanyaan

Tiga buah vektor memiliki arah seperti pada gambar di bawah ini. Dengan besar vektor F 1 = 10 N, F 2 = 20 N, F 3 = 40 N. Resultan ketiga gaya pada gambar tersebut adalah ….

Tiga buah vektor memiliki arah seperti pada gambar di bawah ini.

Dengan besar vektor F1 = 10 N, F2 = 20 N, F3 = 40 N. Resultan ketiga gaya pada gambar tersebut adalah ….

  1. 2 square root of 2 space N

  2. 2 square root of 22 space N

  3. 2 square root of 221 space space N

  4. 2 square root of 222 space N

  5. 2 square root of 223 space space N

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E. Dwihermiati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

Uraikan terlebih dahulu vektor F 1 , F 2 , dan F 3 masing – masing pada sumbu X dan sumbu Y.

Uraikan terlebih dahulu vektor F1, F2, dan F3 masing – masing pada sumbu X dan sumbu Y.

S b minus X colon space F subscript 1 x end subscript equals F subscript 1 space space cos space theta rightwards arrow F subscript 1 x end subscript equals left parenthesis 10 right parenthesis space space cos space 37 degree rightwards arrow F subscript 1 x end subscript equals left parenthesis 10 right parenthesis left parenthesis 0 comma 8 right parenthesis space F subscript 1 x end subscript equals 8 space N space left parenthesis i n g a t space tan d a space p o s i t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space k a n a n right parenthesis space F subscript 2 x end subscript equals negative F subscript 2 space space cos space theta rightwards arrow F subscript 2 x end subscript equals negative left parenthesis 20 right parenthesis space space cos space 53 degree rightwards arrow F subscript 2 x end subscript equals negative left parenthesis 20 right parenthesis left parenthesis 0 comma 6 right parenthesis space F subscript 2 x end subscript equals negative 12 space N space left parenthesis i n g a t space tan d a space n e g a t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space k i r i right parenthesis space F subscript 3 x end subscript equals negative F subscript 3 space sin space theta rightwards arrow F subscript 3 x end subscript equals negative left parenthesis 40 right parenthesis space space sin space 37 degree rightwards arrow F subscript 3 x end subscript equals negative left parenthesis 40 right parenthesis left parenthesis 0 comma 6 right parenthesis space F subscript 3 x end subscript equals negative 24 space N space left parenthesis i n g a t space tan d a space n e g a t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space k i r i right parenthesis space capital sigma F subscript x equals F subscript 1 x end subscript plus F subscript 2 x end subscript plus F subscript 3 x end subscript rightwards arrow capital sigma F subscript x equals 8 minus 12 minus 24 rightwards arrow capital sigma F subscript x equals negative 28 space N  S b minus Y colon space F subscript 1 y end subscript equals F subscript 1 space sin space theta rightwards arrow F subscript 1 y end subscript equals left parenthesis 10 right parenthesis space space sin space 37 degree rightwards arrow F subscript 1 y end subscript equals left parenthesis 10 right parenthesis left parenthesis 0 comma 6 right parenthesis space F subscript 1 y end subscript equals 6 space N space left parenthesis i n g a t space tan d a space p o s i t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space a t a s right parenthesis space F subscript 2 y end subscript equals F subscript 2 space sin space theta rightwards arrow F subscript 2 y end subscript equals left parenthesis 20 right parenthesis space space sin space 53 degree rightwards arrow F subscript 2 y end subscript equals left parenthesis 20 right parenthesis left parenthesis 0 comma 8 right parenthesis space F subscript 2 y end subscript equals 16 space N space left parenthesis i n g a t space tan d a space p o s i t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space a t a s right parenthesis space F subscript 3 y end subscript equals negative F subscript 3 space space cos space theta rightwards arrow F subscript 3 y end subscript equals negative left parenthesis 40 right parenthesis space space cos space 37 degree rightwards arrow F subscript 3 y end subscript equals negative left parenthesis 40 right parenthesis left parenthesis 0 comma 8 right parenthesis space space F subscript 3 y end subscript equals negative 32 space N space left parenthesis i n g a t space tan d a space n e g a t i f space m e n a n d a k a n space b a h w a space a r a h n y a space k e space b a w a h right parenthesis space capital sigma F subscript y equals F subscript 1 y end subscript plus F subscript 2 y end subscript plus F subscript 3 y end subscript rightwards arrow capital sigma F subscript y equals 6 plus 16 minus 32 rightwards arrow capital sigma F subscript y equals negative 10 space N  R e s u l tan colon space F equals square root of capital sigma F subscript x squared plus capital sigma F subscript y squared end root rightwards arrow F equals square root of left parenthesis negative 28 right parenthesis squared plus left parenthesis negative 10 right parenthesis squared end root rightwards arrow F equals square root of 884 rightwards arrow F equals 2 square root of 221 space space N space J a d i comma space j a w a b a n space y a n g space t e p a t space a d a l a h space C. space space

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