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Pertanyaan

Sebuah gaya bekerja pada titik A (3,2,6) m dengan besar F A ​ = ( 2 i ⇀ − 4 j ⇀ ​ + 3 k ⇀ ) N . Tentukan persamaan momen gaya A !

Sebuah gaya bekerja pada titik A (3,2,6) m dengan besar  . Tentukan persamaan momen gaya A !

  1. 30 straight i with rightwards harpoon with barb upwards on top minus 14 straight j with rightwards harpoon with barb upwards on top space minus 28 space straight k with rightwards harpoon with barb upwards on top                

  2. 30 straight i with rightwards harpoon with barb upwards on top plus 14 straight j with rightwards harpoon with barb upwards on top space minus 28 space straight k with rightwards harpoon with barb upwards on top      

  3. 24 straight i with rightwards harpoon with barb upwards on top plus 3 straight j with rightwards harpoon with barb upwards on top space minus 28 space straight k with rightwards harpoon with barb upwards on top      

  4. 24 straight i with rightwards harpoon with barb upwards on top plus 14 straight j with rightwards harpoon with barb upwards on top space minus 28 space straight k with rightwards harpoon with barb upwards on top 

  5. 24 straight i with rightwards harpoon with barb upwards on top minus 18 straight j with rightwards harpoon with barb upwards on top space minus 28 space straight k with rightwards harpoon with barb upwards on top      

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

jawaban yang tepat adalah A.

Pembahasan

Dengan metode matriks Mencari nilai Mencari nilai Mencari nilai Sehingga Jadi, jawaban yang tepat adalah A.

begin mathsize 14px style tau with _ below A equals open parentheses 3 i plus 2 j plus 6 k close parentheses m cross times open parentheses 2 i minus 4 j plus 3 k close parentheses N end style    

Dengan metode matriks

Mencari nilai begin mathsize 12px style space i space ⃗ end style   

table row 2 6 row cell negative 4 end cell 3 end table space equals space left parenthesis space 6 space – space left parenthesis negative 24 right parenthesis space equals 30 space straight i with rightwards harpoon with barb upwards on top      

Mencari nilai begin mathsize 12px style j with rightwards arrow on top end style 

table row 6 3 row 3 2 end table space space equals space left parenthesis space 12 minus 9 right parenthesis space equals space 3 straight j with rightwards harpoon with barb upwards on top     

Mencari nilai begin mathsize 12px style k with rightwards arrow on top end style       

table row 3 2 row 2 cell negative 4 end cell end table space equals space left parenthesis space minus 12 space minus space 4 right parenthesis space equals space minus 16 k with rightwards harpoon with barb upwards on top     

Sehingga straight A space straight x space straight B space equals space left parenthesis space 30 straight i with rightwards harpoon with barb upwards on top plus 3 space straight j with rightwards harpoon with barb upwards on top space minus 16 space straight k with rightwards harpoon with barb upwards on top right parenthesis space

Jadi, jawaban yang tepat adalah A.

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