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Persamaan Gerak: X ( t )= Ae (−ζ+ζ 2 1) ωt + Be (−ζζ 2 1) ωt Dimisalkan: k = 100 N/m m = 2 kg ζ = 2 ω= k m = 100 2 =7,071 rad/ s maka, X ( t )= Ae (2+2 2 1 ) 7,071t +Be (22 2 1) 7,071 t X ( t )= Ae 1,89 t +Be 26,39 t dan, ˙ X ( t )=−1,89 Ae 1,89 t 26,39 Be 26,39t Dengan kondisi batas: X(t=0) = 1 dan ˙ X(t=0) = 2 Maka: X(0) = A + B = 1 x1,89 1,89A + 1,89B = 1,89 ˙ X(0) = - 1,89A – 26,39B = 2 x1 -1,89A -26,39B = 2 - 24,5B = 3,89 B = - 0,159 ; A = 1,159 Maka persamaannya menjadi: X ( t )=1,159 e 1,89t 0,159 e 26,39 t

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Persamaan Gerak:

Dimisalkan:k= 100 N/mm= 2 kg= 2

maka,

dan,

Dengan kondisi batas:X(t=0) = 1 dan (t=0) = 2Maka:X(0)= A + B = 1x1,891,89A + 1,89B = 1,89(0)= - 1,89A 26,39B = 2x1-1,89A -26,39B = 2- 24,5B = 3,89B = - 0,159 ; A = 1,159Maka persamaannya menjadi:

Persamaan tersebut dilakukan perhitungan dengan menggunakan Ms. Excel kemudian diperoleh suatu grafik.Time (sec)X(t)Time (sec)X(t)Time (sec)X(t)

014,20,000413678,41,47647E-07

0,10,9480467674,30,000342438,51,2222E-07

0,20,7933708334,40,0002834598,61,01172E-07

0,30,6573553134,50,0002346448,78,37489E-08

0,40,5441936934,60,0001942358,86,93262E-08

0,50,4504793274,70,0001607858,95,73873E-08

0,60,3729009324,80,00013309694,75045E-08

0,70,3086823764,90,0001101759,13,93235E-08

0,80,25552310759,12012E-059,23,25515E-08

0,90,211518585,17,54951E-059,32,69457E-08

10,1750922265,26,24938E-059,42,23053E-08

1,10,1449389825,35,17316E-059,51,8464E-08

1,20,1199785345,44,28227E-059,61,52843E-08

1,30,0993166125,53,5448E-059,71,26521E-08

1,40,0822129515,62,93434E-059,81,04732E-08

1,50,0680547715,72,42901E-059,98,66961E-09

1,60,0563348225,82,0107E-05107,17658E-09

1,70,0466332055,91,66443E-05

1,80,03860233861,37779E-05

1,90,0319544946,11,14052E-05

20,0264514996,29,44106E-06

2,10,0218961946,37,81518E-06

2,20,0181253746,46,4693E-06

2,30,015003946,55,3552E-06

2,40,0124200596,64,43296E-06

2,50,0102811576,73,66955E-06

2,60,0085106036,83,0376E-06

2,70,0070449636,92,51449E-06

2,80,00583172572,08146E-06

2,90,0048274237,11,723E-06

30,0039960767,21,42628E-06

3,10,0033078987,31,18065E-06

3,20,0027382337,49,77329E-07

3,30,0022666727,58,0902E-07

3,40,0018763217,66,69696E-07

3,50,0015531937,75,54365E-07

3,60,0012857127,84,58896E-07

3,70,0010642957,93,79868E-07

3,80,00088100983,14449E-07

3,90,0007292888,12,60297E-07

40,0006036948,22,1547E-07

4,10,000499738,31,78363E-07