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Perhatikan gambar berikut! Jika massa batang diabaikan, tentukan besar momen gaya total terhadap titik A, B, C, D dan E!

Pertanyaan

Perhatikan gambar berikut!

Jika massa batang diabaikan, tentukan besar momen gaya total terhadap titik A, B, C, D dan E! space space 

F. Arifin

Master Teacher

Mahasiswa/Alumni Universitas Trisakti

Jawaban terverifikasi

Jawaban

momen gaya di A 10 Nm (berawanan arah), di B 6 Nm (berlawanan arah), di C 2 Nm (berlawanan arah), di D 2 Nm (searah) dan di titik E 6 Nm (searah jarum jam).

Pembahasan

Momen gaya di titik A

table attributes columnalign right center left columnspacing 2px end attributes row cell tau subscript A end cell cell equals negative end cell cell open parentheses F subscript 2 cross times R subscript B A end subscript close parentheses minus open parentheses F subscript 3 sin theta cross times R subscript F A end subscript close parentheses end cell row blank equals cell negative open parentheses 5 cross times 1 close parentheses minus open parentheses 2 sin 30 cross times 5 close parentheses end cell row blank equals cell negative 5 minus 5 end cell row blank equals cell negative 10 space Nm end cell row blank blank cell left parenthesis Berlawanan space arah space jarum space jam right parenthesis end cell end table

Momen gaya di titik B

table attributes columnalign right center left columnspacing 2px end attributes row cell tau subscript B end cell cell equals negative end cell cell open parentheses F subscript 1 cross times R subscript A B end subscript close parentheses minus open parentheses F subscript 3 sin theta cross times R subscript F B end subscript close parentheses end cell row blank equals cell negative open parentheses 2 cross times 1 close parentheses minus open parentheses 2 sin 30 cross times 4 close parentheses end cell row blank equals cell negative 2 minus 4 end cell row blank equals cell negative 6 space Nm end cell row blank blank cell left parenthesis Berlawanan space arah space jarum space jam right parenthesis end cell end table

Momen gaya di titik C

table attributes columnalign right center left columnspacing 2px end attributes row cell tau subscript C end cell cell equals negative end cell cell open parentheses F subscript 1 cross times R subscript A C end subscript close parentheses plus open parentheses F subscript 2 cross times R subscript B C end subscript close parentheses minus open parentheses F subscript 3 sin theta cross times R subscript F C end subscript close parentheses end cell row blank equals cell negative open parentheses 2 cross times 2 close parentheses plus open parentheses 5 cross times 1 close parentheses minus open parentheses 2 sin 30 cross times 3 close parentheses end cell row blank equals cell negative 4 plus 5 minus 3 end cell row blank equals cell negative 2 space Nm end cell row blank blank cell left parenthesis Berlawanan space arah space jarum space jam right parenthesis end cell end table

Momen gaya di titik D

table attributes columnalign right center left columnspacing 2px end attributes row cell tau subscript D end cell cell equals negative end cell cell open parentheses F subscript 1 cross times R subscript A D end subscript close parentheses plus open parentheses F subscript 2 cross times R subscript B D end subscript close parentheses minus open parentheses F subscript 3 sin theta cross times R subscript F D end subscript close parentheses end cell row blank equals cell negative open parentheses 2 cross times 3 close parentheses plus open parentheses 5 cross times 2 close parentheses minus open parentheses 2 sin 30 cross times 2 close parentheses end cell row blank equals cell negative 6 plus 10 minus 2 end cell row blank equals cell 2 space Nm end cell row blank blank cell left parenthesis searah space jarum space jam right parenthesis end cell end table

Momen gaya di titik E

table attributes columnalign right center left columnspacing 2px end attributes row cell tau subscript E end cell cell equals negative end cell cell open parentheses F subscript 1 cross times R subscript A E end subscript close parentheses plus open parentheses F subscript 2 cross times R subscript B E end subscript close parentheses minus open parentheses F subscript 3 sin theta cross times R subscript F E end subscript close parentheses end cell row blank equals cell negative open parentheses 2 cross times 4 close parentheses plus open parentheses 5 cross times 3 close parentheses minus open parentheses 2 sin 30 cross times 1 close parentheses end cell row blank equals cell negative 8 plus 15 minus 1 end cell row blank equals cell 6 space Nm end cell row blank blank cell left parenthesis searah space jarum space jam right parenthesis end cell end table

Dengan demikian, momen gaya di A 10 Nm (berawanan arah), di B 6 Nm (berlawanan arah), di C 2 Nm (berlawanan arah), di D 2 Nm (searah) dan di titik E 6 Nm (searah jarum jam).

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