1. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] MEKANIKA Dr. Lutfi Rohman 1

2. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] CHAPTER3 Kuliah 3: 2

3. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] (Linear Oscillations) 3

4. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Simple Harmonic Oscillator 4 The equation of motion for the simple harmonic oscillator

5. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Energi 5

6. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Periode, frekuensi dan kecepatan 6

7. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 7

8. 8

9. Harmonic Oscillations in Two Dimensions 9

10. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 10

11. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 11

12. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 12

13. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 13

14. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Phase Diagrams 14 The state of motion of a one-dimensional oscillator, such as that discu ssed in previous Section, will be completely specified as a function o f time if two quantities are given at one instant of time, that is, the init ial conditions x(t 0 ) and v (t 0 ) (Two quantities are needed because the differential equation for the motion is of second order.). We may con sider the quantities x(t) and v(t) to be the coordinates of a point in a t wo-dimensional space, called phase space.

15. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 15 Phase diagram for a simple harmonic oscillator for a variety of total energies E.

16. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Damped Oscillations 16 The motion represented by the simple harmonic oscillator is termed a free oscillation; once set into oscillation, the motion would never ceas e. This oversimplifies the actual physical case, in which dissipative or f rictional forces would eventually damp the motion to the point that th e oscillations would no longer occur. We can analyze the motion in suc h a case by incorporating into the differential equation a term represen ting the damping force. It does not seem reasonable that the damping force should, in general, depend on the displacement, but it could be a function of the velocity or perhaps of some higher time derivative of th e displacement. It is frequently assumed that the damping force is a lin ear function of the velocity,* F d =  v.

17. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 17

18. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 18

19. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Underdamped Motion 19

20. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 20

21. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 21

22. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 22

23. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 23

24. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 24

25. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 25

26. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 26

27. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 27

28. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 28

29. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 29

30. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 30

31. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 31

32. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 32

33. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 33

34. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 34

35. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 35

36. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] Tugas 3, Kerjakan Soal-soal Berikut: 36

37. Kuliah Mekanika (Dr. Lutfi R,) Universitas Jember [TA 14/15/Genap] 37