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Matematika Pertemuan 15

Matematika Pertemuan 15. Matakuliah : D0024/Matematika Industri II Tahun : 2008. Penggunaan Persamaan Diferensial Orde 2. Beberapa contoh penggunaan Persamaan Diferensial orde 2 diantaranya - electrical capacitance–inductance circuit - vibrating string on a musical instrument

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Matematika Pertemuan 15

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  1. MatematikaPertemuan 15 Matakuliah : D0024/Matematika Industri II Tahun : 2008

  2. Penggunaan Persamaan Diferensial Orde 2 • Beberapa contoh penggunaan Persamaan Diferensial orde 2 diantaranya • - electrical capacitance–inductance circuit • - vibrating string on a musical instrument • -car shock absorber–spring assembly • -vibrating cantilever beam • -stereo speaker cone • -pressure transducer • -bungi cord

  3. Mass/Spring/Dashpot Analogy

  4. Example Problem: • The following equation describes the response of a 2nd order system. • Determine the natural frequency, the damping ratio , and the static sensitivity of the system.

  5. Example Problem:

  6. Example Problem

  7. Example Problem (no damping)

  8. Carilah contoh-contoh aplikasi yang lain • Kerjakan Latihan dalam modul soal

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