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SPMB 2003 Regional I Pada gambar berat benda A ...

SPMB 2003 Regional I

Pada gambar berat benda A dan E masing-masing 100 N dan 10 N.

Apabila tali AC horizontal dan tali AB sejajar bidang serta bidang miring dan katrol licin, maka sistem setimbang untuk berat D sebesar ...
 


 

  1. 50,5 N 

  2. 58,5 N 

  3. 62,5 N 

  4. 72,5 N 

  5. 81,5 N 

Jawaban:

Diketahui :

begin mathsize 14px style W subscript A equals 100 space N W subscript E equals 10 space N end style 

 

Pembahasan :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum F subscript italic y end cell equals cell 0 space space space left parenthesis italic d italic i space italic b italic e italic b italic a italic n space italic E right parenthesis end cell row cell italic T subscript 1 minus sign W subscript italic E end cell equals 0 row cell italic T subscript 1 end cell equals cell W subscript italic E italic equals italic 10 italic space N end cell row blank blank blank row cell sum F subscript italic y end cell equals cell 0 space space space left parenthesis italic d italic i space italic b italic e italic b italic a italic n italic space italic D right parenthesis end cell row cell italic T subscript 2 minus sign W subscript italic D end cell equals 0 row cell italic T subscript 2 end cell equals cell W subscript italic D end cell row blank blank blank end table end style  

 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum F subscript X end cell equals cell 0 space space space left parenthesis di space beban space A right parenthesis end cell row cell T subscript 2 bond W subscript A sin open parentheses 30 degree close parentheses minus sign T subscript 1 cos open parentheses 30 degree close parentheses end cell equals 0 row cell T subscript 2 end cell equals cell W subscript A sin left parenthesis 30 degree right parenthesis plus T subscript 1 cos left parenthesis 30 degree right parenthesis end cell row cell W subscript D end cell equals cell left parenthesis 100 right parenthesis left parenthesis begin inline style bevelled 1 half end style right parenthesis plus left parenthesis 10 right parenthesis left parenthesis begin inline style bevelled 1 half end style square root of 3 begin inline style right parenthesis end style begin inline style end style begin inline style begin inline style W end style subscript D end style begin inline style equals end style begin inline style 58 end style begin inline style comma end style begin inline style 5 end style begin inline style space end style begin inline style N end style end cell end table end style  

Jadi, jawaban yang tepat adalah B

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