A Flyball-Governer:


The diagram shown is that of a "FLYBALL GOVERNOR". It consists of 2 bearings 'A' and 'B'. 'A' is fixed while 'B' can slide up and down the rod.

The bearings are attached to 2 massive balls (assume 1000kg balls). The balls are spinning with a speed 10m/s.

The speed of the balls can be 'governed' by adjusting the distance between the bearings.
The distance is reduced (slowly and smoothly) form 1m to 1/2m.

What is the new speed of the balls?


NOTE: ignore the '3m' shown in diagram.

15 comments:

  1. ♥◘○µ╦┬░Γ╪╬└↑φΦ╫╛◙«½╣↔⌐☺♠♦♣◘○December 17, 2010 at 11:55 AM

    i am back bhaiya

    ReplyDelete
  2. ♥◘○µ╦┬░Γ╪╬└↑φΦ╫╛◙«½╣↔⌐☺♠♦♣◘○December 17, 2010 at 11:56 AM

    I am getting 22.5 m/s

    ReplyDelete
  3. ♥◘○µ╦┬░Γ╪╬└↑φΦ╫╛◙«½╣↔⌐☺♠♦♣◘○December 17, 2010 at 11:58 AM

    please tell bhaiya is my answer 22.5 m/s correct??

    ReplyDelete
  4. ♥◘○µ╦┬░Γ╪╬└↑φΦ╫╛◙«½╣↔⌐☺♠♦♣◘○December 17, 2010 at 12:23 PM

    oops sorry bhaiya,your figure is not correct.Please see the figure dimensions.

    ReplyDelete
  5. AmitDecember 17, 2010 at 12:25 PM

    bhaiya please change the values of the length of the rod bcoz 1+1<3 therefore, triangle is not possible.

    ReplyDelete
  6. ShivankerDecember 17, 2010 at 3:04 PM

    isnt there some problem bhaiya??
    the right triangle made by either bearing, either ball and the rod, seems to have a longer perpendicular than the hypotenuse..

    ReplyDelete
  7. vmcianDecember 17, 2010 at 7:11 PM

    BHAIYA please make that earlier system of comments only. isme maza nahin aa raha. Also, if you have done this bcoz some directly post the answer and other agree then, the latter are only a the losing end.You can take the view of others also. Also, I think here dimensions are wrong.

    ReplyDelete
  8. akash rupelaDecember 18, 2010 at 9:49 AM

    sqrt(90)?

    ReplyDelete
  9. AnujDecember 18, 2010 at 3:15 PM

    Sorry guys. A few days back, i turned comment moderation on, for no good reason. and then i forgot all about it.

    Later, the page was showing 'o comments', so I thought that no one had solved it!!

    So: I have corrected the problem. My mistake. Please ignore the '3m' shown in diagram.

    ReplyDelete
  10. AmitDecember 18, 2010 at 7:30 PM

    4sqrt(5)

    ReplyDelete
  11. Sambhav GuptaDecember 18, 2010 at 10:25 PM

    just a wild guess
    10sqrt(6/7)

    ReplyDelete
  12. AnujDecember 18, 2010 at 11:48 PM

    4sqrt(5) should be the answer. Apply conservation of angular momentum about axis A-B.

    ReplyDelete
  13. AmitDecember 18, 2010 at 11:54 PM

    @sambhav, how itna ganda answer and that too wild guess. we just have to conserve the angular momentum of the system.

    ReplyDelete
  14. AmitDecember 18, 2010 at 11:55 PM

    oh didn't see bhaiya has replied

    ReplyDelete
  15. Sambhav GuptaDecember 19, 2010 at 12:04 AM

    yr kia to maine bhi angular momentum conserve tha, par orally kia tha, pata nhi kaise aaya

    v1r1=v2r2

    r1 aur r2 kya lia?

    ReplyDelete

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