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Perhatikan gambar berikut. Diketahui m A ​ = m B ​ = m C ​ = m D ​ = 1 k g ,dan tidak ada gesekan antara lantai dan kotak serta tali dan katrol. Bila g = 10 m / s 2 , tegangan tali T 1 ​ d an T 3 ​ sebesar ….

Perhatikan gambar berikut.

Diketahui  ,dan tidak ada gesekan antara lantai dan kotak serta tali dan katrol. Bila g = 10  , tegangan tali   sebesar ….

  1. 4 N dan 4 N

  2. 4 N dan 6 N

  3. 5 N dan 10 N

  4. 6 N dan 12 N

  5. 8 N dan 16 N

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Y. Maghfirah

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Pembahasan

Tinjau gaya pada kotak A. Tinjau gaya pada kotak B. Tinjau gaya pada kotak C. Tinjau gaya pada kotak D. Tegangan T1: Tegangan T2: Tegangan T3:

Tinjau gaya pada kotak A.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum F subscript x end cell equals cell m subscript A a end cell row cell T subscript 1 end cell equals cell 1. a end cell row cell T subscript 1 end cell equals a row blank blank blank end table end style 

Tinjau gaya pada kotak B.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px sum end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px F end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px B end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 1 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table 

Tinjau gaya pada kotak C.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px sum end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px F end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px C end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px C end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px C end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell size 14px 1.10 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript size 14px 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 10 end table

Tinjau gaya pada kotak D.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank sum end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank F end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript D end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript D end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript D end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1.10 minus left parenthesis 3 a minus 10 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank s end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table 

Tegangan T1:

size 14px T subscript size 14px 1 size 14px equals size 14px a size 14px T subscript size 14px 1 size 14px equals size 14px 5 size 14px space size 14px N  

Tegangan T2:

size 14px T subscript size 14px 2 size 14px equals size 14px 2 size 14px a size 14px T subscript size 14px 2 size 14px equals size 14px 2 size 14px left parenthesis size 14px 5 size 14px right parenthesis size 14px T subscript size 14px 2 size 14px equals size 14px 10 size 14px space size 14px N 

Tegangan T3:

size 14px T subscript size 14px 3 size 14px equals size 14px 3 size 14px a size 14px minus size 14px 10 size 14px T subscript size 14px 3 size 14px equals size 14px 3 size 14px left parenthesis size 14px 5 size 14px right parenthesis size 14px minus size 14px 10 size 14px T subscript size 14px 3 size 14px equals size 14px 20 size 14px minus size 14px 10 size 14px T subscript size 14px 3 size 14px equals size 14px 10 size 14px space size 14px N 

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