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Perhatikan gambar permainan jungkat jungkit berikut! Empat orang anak sedang bermain jungkat jungkit seperti pada gambar diatas. Beberapa saat kemudian Adi ingin ikut bermain. Kelima anak tersebut memiliki massa seperti terlihat pada tabel dibawah ini. Dimanakah posisi adi yang tepat, agar jungkat jugkit dalam keadaan seimbang?

Pertanyaan

Perhatikan gambar permainan jungkat jungkit berikut!

Empat orang anak sedang bermain jungkat jungkit seperti pada gambar diatas. Beberapa saat kemudian Adi ingin ikut bermain. Kelima anak tersebut memiliki massa seperti terlihat pada tabel dibawah ini.

Dimanakah posisi adi yang tepat, agar jungkat jugkit dalam keadaan seimbang?

  1. Di antara Dimas dan Wisnuspace space

  2. Di depan Dimasspace space 

  3. Di depan Ullyspace space 

  4. Di belakang Ditaspace space 

  5. Di belakang Wisnuspace space 

N. Sari

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Diketahui:

table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript D i t a end subscript end cell equals cell 38 space kg end cell row cell W subscript D i t a end subscript end cell equals cell 380 space straight N end cell row cell L subscript D i t a end subscript end cell equals cell left parenthesis 90 plus 60 right parenthesis cm equals 150 space cm equals 1 comma 5 space straight m end cell row cell m subscript U l l y end subscript end cell equals cell 35 space kg end cell row cell W subscript U l l y end subscript end cell equals cell 350 space straight N end cell row cell L subscript U l l y end subscript end cell equals cell 60 space cm space equals 0 comma 6 space straight m end cell row cell m subscript D i m a s end subscript end cell equals cell 32 space kg end cell row cell W subscript D i m a s end subscript end cell equals cell 320 space straight N end cell row cell L subscript D i m a s end subscript end cell equals cell 50 space cm equals 0 comma 5 space straight m end cell row cell m subscript W i s n u end subscript end cell equals cell 28 space kg end cell row cell W subscript W i s n u end subscript end cell equals cell 280 space straight N end cell row cell L subscript W i s n u end subscript end cell equals cell left parenthesis 300 plus 50 right parenthesis cm equals 350 space cm end cell row cell m subscript A d i end subscript end cell equals cell 20 space kg end cell row cell W subscript A d i end subscript end cell equals cell 200 space straight N end cell end table

Ditanya: L subscript A d i end subscript space ?

Jawab:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank blank row cell begin inline style bold sum for blank of end style bold italic sigma end cell bold equals bold 0 row bold italic sigma bold equals cell bold italic F bold cross times bold italic d end cell row blank blank blank row blank blank cell Dimana colon end cell row sigma equals cell momen space gaya space left parenthesis Nm right parenthesis end cell row F equals cell gaya space yang space bekerja space pada space benda space left parenthesis straight N right parenthesis end cell row L equals cell lengan space gaya divided by jarak space gaya space dari space poros space left parenthesis straight m right parenthesis end cell row blank blank blank row blank blank cell Tanda space momen space gaya colon end cell row blank blank cell plus Jika space searah space jarum space jam end cell row blank blank cell negative Jika space berlawanan space arah space jarum space jam end cell row blank blank blank row blank blank cell begin inline style sum for blank of end style begin inline style straight sigma end style begin inline style equals end style begin inline style 0 end style end cell row blank blank cell open parentheses negative W subscript D i t a end subscript cross times L subscript D i t a end subscript close parentheses begin inline style plus end style begin inline style open parentheses negative W subscript U l l y end subscript cross times L subscript U l l y end subscript close parentheses end style plus left parenthesis italic minus W subscript A d i end subscript italic cross times L subscript A d i end subscript right parenthesis plus open parentheses W subscript D i m a s end subscript cross times L subscript D i m a s end subscript close parentheses begin inline style plus end style begin inline style open parentheses W subscript W i s n u end subscript cross times L subscript W i s n u end subscript close parentheses end style begin inline style equals end style begin inline style 0 end style end cell row blank blank cell begin inline style open parentheses negative 380 cross times 1 comma 5 close parentheses end style begin inline style plus end style begin inline style open parentheses negative 350 cross times 0 comma 6 close parentheses end style begin inline style plus end style begin inline style open parentheses italic minus W subscript A d i end subscript italic cross times L subscript A d i end subscript close parentheses end style begin inline style plus end style begin inline style open parentheses 320 cross times 0 comma 5 close parentheses end style begin inline style plus end style begin inline style open parentheses 280 cross times 3 comma 5 close parentheses end style begin inline style equals end style begin inline style 0 end style end cell row blank blank cell begin inline style minus end style begin inline style 570 end style begin inline style minus end style begin inline style 210 end style begin inline style plus end style begin inline style open parentheses negative W subscript A d i end subscript cross times L subscript A d i end subscript close parentheses end style begin inline style plus end style begin inline style 160 end style begin inline style plus end style begin inline style 980 end style begin inline style equals end style begin inline style 0 end style end cell row blank blank cell begin inline style 160 end style begin inline style plus end style begin inline style 980 end style begin inline style equals end style begin inline style 570 end style begin inline style plus end style begin inline style 210 plus open parentheses W subscript A d i end subscript cross times L subscript A d i end subscript close parentheses end style end cell row blank blank cell begin inline style 1140 end style begin inline style equals end style begin inline style 780 end style begin inline style plus end style begin inline style open parentheses W subscript A d i end subscript cross times L subscript A d i end subscript close parentheses end style end cell row blank blank cell begin inline style 1140 end style begin inline style equals end style begin inline style 780 end style begin inline style plus end style begin inline style open parentheses 200 cross times L subscript A d i end subscript close parentheses end style end cell row blank blank cell begin inline style 200 end style begin inline style L subscript A d i end subscript end style begin inline style equals end style begin inline style 360 end style end cell row blank blank cell begin inline style L subscript A d i end subscript end style begin inline style equals end style begin inline style 1 end style begin inline style comma end style begin inline style 8 end style begin inline style space end style begin inline style straight m end style begin inline style equals end style begin inline style 180 end style begin inline style space end style begin inline style cm end style end cell row blank blank blank end table

Jadi, jarak duduk Adi dari titik tumpu adalah 180 cm, sehingga Adi duduk di belakang Dita.

 

500

5.0 (1 rating)

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