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Perhatikan gambar berikut ini ! Letak koordinat titik berat bidang berbentuk huruf H adalah...

Perhatikan gambar berikut ini !

Letak koordinat titik berat bidang berbentuk huruf H adalah...

  1. (3 ; 4)

  2. (3,5 ; 2,5)

  3. (3,5 ; 4)

  4. (4 ; 3)

  5. (4 ; 4)

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R. Maiza

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

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Pembahasan

Titik space berat space benda space homogen space selalu space berada space tepat space di space tengah space benda space tersebut space colon  straight x subscript 1 equals 1 half left parenthesis 2 right parenthesis equals 1  straight y subscript 1 equals 1 half left parenthesis 6 right parenthesis equals 3  straight A subscript 1 equals left parenthesis 2 right parenthesis. left parenthesis 6 right parenthesis equals 12  straight x subscript 2 equals 1 half left parenthesis 4 right parenthesis plus 2 equals 2 plus 2 equals 4  straight y subscript 2 equals 1 half left parenthesis 2 right parenthesis plus 2 equals 1 plus 2 equals 3  straight A subscript 2 equals 4 cross times 2 equals 8  straight x subscript 3 equals 1 half left parenthesis 2 right parenthesis plus 2 plus 4 equals 1 plus 2 plus 4 equals 7  straight y subscript 3 equals 1 half left parenthesis 6 right parenthesis equals 3  straight A subscript 3 equals left parenthesis 2 right parenthesis left parenthesis 6 right parenthesis equals 12  straight A subscript 3 equals left parenthesis 2 right parenthesis left parenthesis 6 right parenthesis equals 12  Maka colon  straight x subscript 0 equals fraction numerator straight x subscript 1. straight A subscript 1 plus straight x subscript 2. straight A subscript 2 plus straight x subscript 3. straight A subscript 3 over denominator straight A subscript 1 plus straight A subscript 2 plus straight A subscript 3 end fraction equals fraction numerator left parenthesis 1 cross times 12 right parenthesis plus left parenthesis 4 cross times 8 right parenthesis plus left parenthesis 7 cross times 12 right parenthesis over denominator 12 plus 8 plus 12 end fraction equals 128 over 32 equals 4 cm  straight y subscript 0 equals fraction numerator straight y subscript 1. straight A subscript 1 plus straight y subscript 2. straight A subscript 2 plus straight y subscript 3. straight A subscript 3 over denominator straight A subscript 1 plus straight A subscript 2 plus straight A subscript 3 end fraction equals fraction numerator left parenthesis 3 cross times 12 right parenthesis plus left parenthesis 3 cross times 8 right parenthesis plus left parenthesis 3 cross times 12 right parenthesis over denominator 12 plus 8 plus 12 end fraction equals 96 over 32 equals 3 cm  Maka space titik space berat space bidang space tersebut space adalah space left parenthesis 4 space semicolon space 3 right parenthesis.

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