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## Distributed Forces: Moments of Inertia

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**1. **Distributed Forces:Moments of Inertia

**2. **9 - 2 Contents

**3. **9 - 3 Introduction

**4. **9 - 4 Moment of Inertia of an Area

**5. **9 - 5 Moment of Inertia of an Area by Integration

**6. **9 - 6 Polar Moment of Inertia

**7. **9 - 7 Radius of Gyration of an Area

**8. **9 - 8 Sample Problem 9.1

**9. **9 - 9 Sample Problem 9.2

**10. **9 - 10

**11. **9 - 11

**12. **9 - 12 Parallel Axis Theorem

**13. **9 - 13 Parallel Axis Theorem

**14. **9 - 14

**15. **9 - 15 Moments of Inertia of Composite Areas

**16. **9 - 16 Moments of Inertia of Composite Areas

**17. **9 - 17 Sample Problem 9.4

**18. **9 - 18 Sample Problem 9.4

**19. **9 - 19 Sample Problem 9.4

**20. **9 - 20 Sample Problem 9.5

**21. **9 - 21 Sample Problem 9.5

**22. **9 - 22 Sample Problem 9.5

**23. **9 - 23 Product of Inertia

**24. **9 - 24 Principal Axes and Principal Moments of Inertia

**25. **9 - 25 Principal Axes and Principal Moments of Inertia

**26. **9 - 26 Sample Problem 9.6

**27. **9 - 27 Sample Problem 9.6

**28. **9 - 28 Sample Problem 9.6

**29. **9 - 29 Sample Problem 9.7

**30. **9 - 30 Sample Problem 9.7

**31. **9 - 31 Sample Problem 9.7

**32. **9 - 32 Mohr’s Circle for Moments and Products of Inertia

**33. **9 - 33 Sample Problem 9.8

**34. **9 - 34 Sample Problem 9.8

**35. **9 - 35 Sample Problem 9.8

**36. **9 - 36

**37. **9 - 37 Moment of Inertia of a Mass

**38. **9 - 38 Moment of Inertia of a Mass

**39. **9 - 39 Parallel Axis Theorem

**40. **9 - 40 Moments of Inertia of Thin Plates

**41. **9 - 41 Moments of Inertia of Thin Plates

**42. **9 - 42 Moments of Inertia of a 3D Body by Integration

**43. **9 - 43 Moments of Inertia of Common Geometric Shapes

**44. **9 - 44

**45. **9 - 45

**46. **9 - 46

**47. **9 - 47

**48. **9 - 48

**49. **9 - 49

**50. **9 - 50

**51. **9 - 51

**52. **9 - 52 Sample Problem 9.12

**53. **9 - 53 Sample Problem 9.12

**54. **9 - 54 Sample Problem 9.12

**55. **9 - 55 Moment of Inertia With Respect to an Arbitrary Axis

**56. **9 - 56 Ellipsoid of Inertia. Principal Axes of Inertia of a Mass