Roboguru

Dua balok di atas permukaan kasar dihubungkan dengan tali ringan seperti gambar berikut.   Diketahui massa , dan  berturut-turut 15 kg dan 25 kg. Koefisien gesek antara balok terhadap lantai sebesar 0,2. Jika sistem ditarik dengan gaya 90 N, tentukan: a. percepatan gerak sistem, b. tegangan tali ().

Pertanyaan

Dua balok di atas permukaan kasar dihubungkan dengan tali ringan seperti gambar berikut.
 
Diketahui massa begin mathsize 14px style m subscript 1 end style, dan begin mathsize 14px style m subscript 2 end style berturut-turut 15 kg dan 25 kg. Koefisien gesek antara balok terhadap lantai sebesar 0,2. Jika sistem ditarik dengan gaya 90 N, tentukan:
a. percepatan gerak sistem,
b. tegangan tali (begin mathsize 14px style g equals 10 space bevelled straight m over straight s squared end style).

Pembahasan Video:

Pembahasan Soal:

Diketahui:

begin mathsize 14px style m subscript 1 equals 15 space kg m subscript 2 equals 25 space kg mu equals 0 comma 2 g space equals space 10 space bevelled straight m over straight s squared F equals 90 space straight N end style 

Ditanya: percepatan gerak sistem; tegangan tali 

Jawab:

Analisis benda 2

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell begin inline style sum for blank of end style F 2 subscript y end cell equals 0 row cell N subscript 2 minus W subscript 2 end cell equals 0 row cell N subscript 2 end cell equals cell W subscript 2 end cell row cell N subscript 2 end cell equals cell m subscript 2 times g end cell row cell N subscript 2 end cell equals cell 25 times 10 end cell row cell N subscript 2 end cell equals cell 250 space straight N end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell begin inline style sum for blank of end style F 2 subscript x end cell equals cell m subscript 2 times a end cell row cell F minus T minus f g subscript 2 end cell equals cell m subscript 2 times a end cell row cell F minus T minus open parentheses mu times N subscript 2 close parentheses end cell equals cell m subscript 2 times a end cell row cell 90 minus T minus open parentheses 0 comma 2 times 250 close parentheses end cell equals cell 25 times a end cell row cell 90 minus T minus 50 end cell equals cell 25 times a end cell row cell 40 minus T end cell equals cell 25 times a end cell row cell 40 minus 25 times a end cell equals T end table end style 

Analisis benda 1

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell begin inline style sum for blank of end style F 1 subscript y end cell equals 0 row cell N subscript 1 minus W subscript 1 end cell equals 0 row cell N subscript 1 end cell equals cell W subscript 1 end cell row cell N subscript 1 end cell equals cell m subscript 1 times g end cell row cell N subscript 1 end cell equals cell 15 times 10 end cell row cell N subscript 1 end cell equals cell 150 space straight N end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum for blank of F 1 subscript x end cell equals cell m subscript 1 times a end cell row cell T minus f g subscript 1 end cell equals cell m subscript 1 times a end cell row cell T minus open parentheses N subscript 1 times mu close parentheses end cell equals cell m subscript 1 times a end cell row cell open parentheses 40 minus 25 times a close parentheses minus open parentheses 150 times 0 comma 2 close parentheses end cell equals cell 15 times a end cell row cell 40 minus 25 times a minus 30 end cell equals cell 15 times a end cell row 10 equals cell 40 times a end cell row a equals cell 10 over 40 end cell row a equals cell 0 comma 25 space bevelled straight m over straight s squared end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row T equals cell 40 minus 25 times a end cell row blank equals cell 40 minus 25 times 0 comma 25 end cell row blank equals cell 40 minus 6 comma 25 end cell row blank equals cell 33 comma 75 space straight N end cell end table end style 

Jadi, jawaban yang tepat adalah begin mathsize 14px style a equals 0 comma 25 space bevelled straight m over straight s squared space dan space T equals 33 comma 75 space straight N end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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