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Tiga gaya sebidang dan bekerja pada sebuah benda tampak seperti gambar berikut. Hitung nilai dan arah ketiga resultan gaya tersebut! ( 3 ​ = 1 , 7 , 2 ​ = 1 , 4 )

Tiga gaya sebidang dan bekerja pada sebuah benda tampak seperti gambar berikut.

Hitung nilai dan arah ketiga resultan gaya tersebut!

 

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N. Puspita

Master Teacher

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Resultan gaya di sumbu x: Resultan gaya di sumbu y: Resultangaya: Arah vektor:

Resultan gaya di sumbu x:

table attributes columnalign right center left columnspacing 0px end attributes row cell F with rightwards arrow on top subscript x end cell equals cell 8 space sin space 60 degree minus 10 space sin space 45 degree end cell row cell F with rightwards arrow on top subscript x end cell equals cell 4 square root of 3 minus 5 square root of 2 end cell row cell F with rightwards arrow on top subscript x end cell equals cell negative 0 comma 2 space straight N end cell end table 

Resultan gaya di sumbu y:

table attributes columnalign right center left columnspacing 0px end attributes row cell F with rightwards arrow on top subscript y end cell equals cell 8 space sin space 30 degree space plus 10 space sin space 45 degree minus 6 end cell row cell F with rightwards arrow on top subscript y end cell equals cell 4 plus 5 square root of 2 minus 6 end cell row cell F with rightwards arrow on top subscript y end cell equals cell 5 space straight N end cell end table 

Resultan gaya:

table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript R end cell equals cell square root of F with rightwards arrow on top subscript x squared plus F with rightwards arrow on top subscript y squared end root end cell row cell F subscript R end cell equals cell square root of open parentheses negative 0 comma 2 close parentheses squared plus left parenthesis 5 right parenthesis squared end root end cell row cell F subscript R end cell equals cell square root of 25 comma 04 end root end cell row cell F subscript R end cell equals cell 5 comma 0039 space straight N end cell end table 

Arah vektor:

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space theta end cell equals cell fraction numerator F with rightwards arrow on top blank subscript y over denominator F with rightwards arrow on top blank subscript x end fraction end cell row cell tan space theta end cell equals cell negative 10 end cell row theta equals cell negative 84 comma 29 to the power of straight omicron end cell row blank blank blank row gamma equals cell 180 minus theta end cell row gamma equals cell 180 minus 84 comma 29 to the power of straight omicron end cell row gamma equals cell 95 comma 71 to the power of straight omicron end cell end table 

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