Perhatikan tabel berikut! No F1 F2...

Perhatikan tabel berikut!

No	F₁	F₂	$begin mathsize 14px style alpha end style$
(1)	12 N	8 N	60⁰
(2)	10 N	12 N	120⁰
(3)	8 N	10 N	60⁰

Dua buah vektor gaya mengapit sudut $begin mathsize 14px style alpha end style$ ditunjukkan pada tabel tersebut. Urutan resultan vektor gaya dari terkecil adalah.... $space$

(1) - (2) - (3) $undefined$
(1) - (3) - (2) $undefined$
(2) - (1) - (3) $undefined$
(2) - (3) - (1) $undefined$
(3) - (2) - (1) $undefined$

Jawaban:

Untuk mencari resultan vektor menggunakan rumus cosinus sebagai berikut:

No (1)

$begin mathsize 14px style F equals square root of F subscript 1 squared plus F subscript 2 squared plus 2 F subscript 1 F subscript 2 cos 60 to the power of 0 end root F equals square root of 12 squared plus 8 squared plus 2 cross times 12 cross times 8 left parenthesis bevelled fraction numerator 1 over denominator 2 right parenthesis end fraction end root F equals square root of 144 plus 64 plus 96 end root F equals square root of 304 F equals 17 comma 43 space straight N end style$

No (2)

$begin mathsize 14px style F equals square root of F subscript 1 squared plus F subscript 2 squared plus 2 F subscript 1 F subscript 2 cos 120 to the power of 0 end root F equals square root of 10 squared plus 12 squared plus 2 cross times 10 cross times 12 left parenthesis negative bevelled fraction numerator 1 over denominator 2 right parenthesis end fraction end root F equals square root of 100 plus 144 minus 120 end root F equals square root of 124 F equals 11 comma 13 space straight N end style$

No (3)

$begin mathsize 14px style F equals square root of F subscript 1 squared plus F subscript 2 squared plus 2 F subscript 1 F subscript 2 cos 60 to the power of 0 end root F equals square root of 8 squared plus 10 squared plus 2 cross times 8 cross times 10 left parenthesis bevelled fraction numerator 1 over denominator 2 right parenthesis end fraction end root F equals square root of 64 plus 100 plus 80 end root F equals square root of 244 F equals 15 comma 62 space straight N end style$

Maka, jawaban yang paling sesuai adalah D. $undefined$

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