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Perhatikan gambar di samping. Besar resultan ket...

Perhatikan gambar di samping.

Besar resultan ketiga gaya tersebut adalah ....

  1. 0

  2. 2 square root of 3 space N

  3. 4 square root of 3 space N

  4. 8 square root of 3 space N

  5. 12 square root of 3 space N

Jawaban:

Tinjau sumbu x.

sum from blank to blank of F subscript x space equals space F subscript 1 space cos space 30 to the power of 0 space minus space F subscript 2  sum from blank to blank of F subscript x space equals space open parentheses 4 close parentheses space open parentheses 1 half square root of 3 close parentheses space minus space 6 square root of 3  sum from blank to blank of F subscript x space equals space minus 4 square root of 3 space N

 

Tinjau sumbu y.

sum from blank to blank of F subscript y space equals space F subscript 1 space sin space 30 to the power of 0 space minus space F subscript 3  sum from blank to blank of F subscript y space equals space open parentheses 4 close parentheses space open parentheses 1 half close parentheses space minus space 2  sum from blank to blank of F subscript y space equals space 2 space minus space 2 space equals space 0 space N

Maka, besarnya resultan gaya dengan menggunakan vektor adalah :

F subscript R space equals space square root of open parentheses sum from blank to blank of F subscript x close parentheses squared plus open parentheses sum from blank to blank of F subscript y close parentheses squared end root  F subscript R space equals space square root of open parentheses negative 4 square root of 3 close parentheses squared space plus space open parentheses 0 close parentheses squared end root space  F subscript R equals space square root of 48  F subscript R space equals space 4 square root of 3 space straight N

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