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Perhatikan gambar berikut! Massa balok A-B adal...

Perhatikan gambar berikut!

begin mathsize 14px style space space end style

Massa balok A-B adalah 10 kg dan balok C 20 kg, di manakah balok A, B dan C harus diletakkan supaya tuas bisa seimbang?undefined

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Jawaban:

Diketahui :

begin mathsize 14px style m subscript A equals 10 space kg m subscript B equals 10 space kg m subscript C equals 20 space kg end style 


Untuk mendapatkan kesetimbangan, maka dapat digunakan persamaan sebagai berikut.

  1. Opsi A (salah)

    begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tau subscript k i r i end subscript end cell not equal to cell tau subscript k a n a n end subscript end cell row cell F subscript A r subscript A plus F subscript B r subscript B end cell not equal to cell F subscript C r subscript C end cell row cell m subscript A g r subscript A plus m subscript B g r subscript B end cell not equal to cell m subscript C g r subscript C end cell row cell m subscript A r subscript A plus m subscript B r subscript B end cell not equal to cell m subscript C r subscript C end cell row cell open parentheses 10 cross times 150 close parentheses plus open parentheses 10 cross times 100 close parentheses end cell not equal to cell open parentheses 20 cross times 150 close parentheses end cell row cell 1500 plus 1000 end cell not equal to 3000 row 2500 not equal to 3000 end table end style
     
  2. Opsi B (benar)

    begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tau subscript k i r i end subscript end cell equals cell tau subscript k a n a n end subscript end cell row cell F subscript A r subscript A plus F subscript B r subscript B end cell equals cell F subscript C r subscript C end cell row cell m subscript A g r subscript A plus m subscript B g r subscript B end cell equals cell m subscript C g r subscript C end cell row cell m subscript A r subscript A plus m subscript B r subscript B end cell equals cell m subscript C r subscript C end cell row cell open parentheses 10 cross times 150 close parentheses plus open parentheses 10 cross times 100 close parentheses end cell equals cell open parentheses 20 cross times 150 close parentheses end cell row cell 1500 plus 1000 end cell equals 3000 row 2500 equals 3000 end table end style  
     
  3. Opsi C (salah)

    begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tau subscript k i r i end subscript end cell not equal to cell tau subscript k a n a n end subscript end cell row cell F subscript A r subscript A plus F subscript B r subscript B end cell not equal to cell F subscript C r subscript C end cell row cell m subscript A g r subscript A plus m subscript B g r subscript B end cell not equal to cell m subscript C g r subscript C end cell row cell m subscript A r subscript A plus m subscript B r subscript B end cell not equal to cell m subscript C r subscript C end cell row cell left parenthesis 10 cross times 100 right parenthesis plus left parenthesis 10 cross times 50 right parenthesis end cell not equal to cell left parenthesis 20 cross times 50 right parenthesis end cell row cell 1000 plus 500 end cell not equal to 1000 row cell 1 500 end cell not equal to 1000 end table end style 
     
  4. Opsi D (salah)

    begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tau subscript k i r i end subscript end cell not equal to cell tau subscript k a n a n end subscript end cell row cell F subscript A r subscript A plus F subscript B r subscript B end cell not equal to cell F subscript C r subscript C end cell row cell m subscript A g r subscript A plus m subscript B g r subscript B end cell not equal to cell m subscript C g r subscript C end cell row cell m subscript A r subscript A plus m subscript B r subscript B end cell not equal to cell m subscript C r subscript C end cell row cell left parenthesis 10 cross times 150 right parenthesis plus left parenthesis 10 cross times 100 right parenthesis end cell not equal to cell left parenthesis 20 cross times 100 right parenthesis end cell row cell 1500 plus 1000 end cell not equal to 2000 row 2500 not equal to 2000 end table end style 
     

Jadi, jawaban yang benar adalah B.undefined 

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