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Perhatikan gambar vektor berikut! Resultan ketiga gaya di atas beserta arahnya dari sumbu X positif yaitu....

Pertanyaan

Perhatikan gambar vektor berikut!

Resultan ketiga gaya di atas beserta arahnya dari sumbu X positif yaitu....undefined 

  1. begin mathsize 14px style R with rightwards harpoon with barb upwards on top equals 100 space N comma space theta equals 60 to the power of ring operator end style  

  2. begin mathsize 14px style R with rightwards harpoon with barb upwards on top equals 100 space N comma space theta equals 120 to the power of ring operator end style 

  3. begin mathsize 14px style R with rightwards harpoon with barb upwards on top equals 100 space N comma space theta equals 240 to the power of ring operator end style 

  4. begin mathsize 14px style R with rightwards harpoon with barb upwards on top equals 150 space N comma space theta equals 60 to the power of ring operator end style 

  5. begin mathsize 14px style R with rightwards harpoon with barb upwards on top equals 150 space N comma space theta equals 240 to the power of ring operator end style 

Y. Maghfirah

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C

Pembahasan

Diketahui :

F subscript 1 equals 125 space straight N F subscript 2 equals 25 square root of 3 space straight N F subscript 3 equals 150 space straight N

Ditanya : resultan ketiga gaya ?

Penyelesaian :

straight F subscript 1 straight x end subscript equals negative 125 space straight N comma space straight F subscript 1 straight y end subscript equals 0 space straight N straight F subscript 2 straight x end subscript equals space 0 space straight N comma space straight F subscript 2 straight y end subscript equals space 25 square root of 3 straight N straight F subscript 3 straight x end subscript equals 150 cos 60 to the power of straight o equals 75 space straight N comma thin space straight F subscript 3 straight y end subscript equals negative 150 sin 60 to the power of straight o equals negative 75 square root of 3 straight N straight F subscript Rx equals straight F subscript 1 straight x end subscript plus straight F subscript 2 straight x end subscript plus straight F subscript 3 straight x end subscript equals negative 50 space straight N straight F subscript Ry equals straight F subscript 1 straight y end subscript plus straight F subscript 2 straight y end subscript plus straight F subscript 3 straight y end subscript equals negative 50 square root of 3 straight N  straight F subscript straight R equals square root of straight F subscript Rx squared plus straight F subscript Ry squared end root straight F subscript straight R equals square root of open parentheses negative 50 close parentheses squared plus open parentheses negative 50 square root of 3 close parentheses squared end root straight F subscript straight R equals square root of 2500 plus 7500 end root straight F subscript straight R equals square root of 10000 straight F subscript straight R equals 100 space straight N straight theta equals arctan open parentheses straight F subscript Ry over straight F subscript Rx close parentheses equals arctan open parentheses fraction numerator negative 50 square root of 3 over denominator negative 50 end fraction close parentheses straight theta equals arctan left parenthesis square root of 3 right parenthesis Karena space straight F subscript Rx space dan space straight F subscript Ry space keduanya space negatif comma space straight theta space berada space pada space kuadran space III straight theta equals 240 degree 

Jadi, jawaban yang tepat adalah C

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