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El_Psy_Congroo!!

  • 2 years ago

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  1. El_Psy_Congroo!!
    • 2 years ago
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    |dw:1350922648157:dw|

  2. El_Psy_Congroo!!
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    |dw:1350922771112:dw||dw:1350922889055:dw|

  3. RolyPoly
    • 2 years ago
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    r(lambda) d(theta)?

  4. El_Psy_Congroo!!
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    |dw:1350923517490:dw|

  5. RolyPoly
    • 2 years ago
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    R^3 (lambda) d(theta)?

  6. El_Psy_Congroo!!
    • 2 years ago
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    correct ... the shape of ring goes all the way round to 360 and varies with d(theta) ... so what do we do?

  7. RolyPoly
    • 2 years ago
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    You mean....?

  8. El_Psy_Congroo!!
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    |dw:1350923841372:dw|

  9. RolyPoly
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    whole ring? length = r theta I = r^3 theta (lambda)

  10. El_Psy_Congroo!!
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    no ... this varies with theta ... so we integrate it along 0 to 2 Pi

  11. El_Psy_Congroo!!
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    |dw:1350924064331:dw|

  12. RolyPoly
    • 2 years ago
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    I think I got it..

  13. El_Psy_Congroo!!
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    so what is the final answer?

  14. RolyPoly
    • 2 years ago
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    (lamda) R^3 (2 pi)

  15. El_Psy_Congroo!!
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    yep .. what would (lamda) (2 pi) R = ??

  16. RolyPoly
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    M?

  17. RolyPoly
    • 2 years ago
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    Wait.. I was partly right.. length = r theta I = r^3 theta (lambda) One more condition there is theta = 2 pi I = r^3 (2pi) lambda

  18. El_Psy_Congroo!!
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    yeah the moment of Inertia of ring is MR^2

  19. El_Psy_Congroo!!
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    |dw:1350924842776:dw|

  20. El_Psy_Congroo!!
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    |dw:1350924935079:dw|

  21. RolyPoly
    • 2 years ago
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    Wait, surface / unit area? What's that?

  22. El_Psy_Congroo!!
    • 2 years ago
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    sorry ... mass per unit area ... typo.

  23. RolyPoly
    • 2 years ago
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    Mass = sigma (area) = sigma (pi)[(r_2)^2-(r_1)^2) = sigma (pi) (dr) (2r+dr) Have to go now. I'm sorry!

  24. El_Psy_Congroo!!
    • 2 years ago
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    |dw:1350925702449:dw|

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